CBSE > Class 10 > Mathematics | CBSE Board | Homework Help

ax2 + bx + c = 0 The solution to the quadratic equation is given by 2 numbers x1 and x2. We can change the quadratic equation to the form of: (x - x1)(x - x2) = 0 Quadratic Formula The solution to the quadratic equation is given by the quadratic formula: The expression inside the square root is called discriminant and is denoted by Δ: Δ = b2 - 4ac The quadratic formula with discriminant notation: This expression is important because it can tell us about the solution: When Δ>0, there are 2 real roots x1=(-b+√Δ)/(2a) and x2=(-b-√Δ)/(2a). When Δ=0, there is one root x1=x2=-b/(2a). When Δ<0, there are no real roots, there are 2 complex roots: x1=(-b+i√-Δ)/(2a) and x2=(-b-

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Punit Patodi 4 days, 10 hours ago

Ksjsoeoeo

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x² - x - 23

Posted by Vidhi Gupta 5 days, 10 hours ago

CBSE > Class 10 > Mathematics

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Bcb

Posted by Shreeya Nayak 5 days, 13 hours ago

CBSE > Class 10 > Mathematics

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5 pencil and 7 pens together cost 50 whereas 7 pencil and 5 pen together cost 46.find the cost of one pencil and that of one pen.

Posted by Ashish Ashish 5 days, 15 hours ago

CBSE > Class 10 > Mathematics

1 answers

H H 4 days, 23 hours ago

Let the cost of pencil be RS x and pen be RS.y 5x+7y=50 (1) 7x+5y =46. (2) 5x+7y=50 x=50-7y/5 Putting value of x in eq 2 7(50-7y/5)+5y=46

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Lavanya throws a ball upwards, from a rooftop, which is 20 m above from ground. It will reach a maximum height and then fall back to the ground. The height of the ball from the ground at time t is h , which is given by h=-4t2+16t+20 . (i)What is the height reached by the ball after 1 second? (II)What is the maximum height reached by the ball (iii) How long will the ball take to hit the ground? (iv) What are the two possible times to reach the ball at the same height of 32 m? (v) Where is the ball after 5 seconds ?

Posted by Nivritee Pal 6 days, 8 hours ago

CBSE > Class 10 > Mathematics

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X2 + 45x-99

Posted by Golu Kumar 6 days, 13 hours ago

CBSE > Class 10 > Mathematics

1 answers

Kritika Gupta 6 days, 10 hours ago

Give me answers

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Find the lcm and hcf of 448,1008,168 by fundamental theorem

Posted by Gouri Nandana 1 week ago

CBSE > Class 10 > Mathematics

1 answers

Naman Kumar Lakra 1 week ago

Hii

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If 10 a equal to 3 by 4 then sin a cos a equal to 12 by 25

Posted by Abhinav Kumar 1 week ago

CBSE > Class 10 > Mathematics

1 answers

Rakshith Hs 4 days, 4 hours ago

sec2A−tan2A=1⇒secA=±√tan2A+1 =±√916+1=±√2516=±54 ⇒cosA=1secA=±45 And sin2A+cos2A=1 ⇒sinA=±√1−cos2A=±√1−1625 =±√925=±35 ⇒sinAcosA=12/25 Was this answer helpfull #

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A motor boat speed in still water is 16 km per hour , takes 2 hours more to go 60 km upstream than to return to the same spot. Find the speed of the stream

Posted by Yashika Sain 1 week ago

CBSE > Class 10 > Mathematics

1 answers

Abhinav Kumar 1 week ago

Very easy

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If ∆ABC~∆QRP, area of ∆ABC/area of∆QRP=9/4. AB=18cm and BC=15cm, then find the length of PR

Posted by Kirti Rana 1 week ago

CBSE > Class 10 > Mathematics

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If z=0.064, find the value of {1/z}^1/3

Posted by Zuha Yasmin 1 week, 1 day ago

CBSE > Class 10 > Mathematics

1 answers

Zuha Yasmin 1 week, 1 day ago

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If α and βare the zeros of the quadratic polynomial f(t)= t2-4t+3, find the value of α4β3 +α3β4 .

Posted by Diya Debbarma 1 week, 1 day ago

CBSE > Class 10 > Mathematics

1 answers

Aryan Garg 3 days, 12 hours ago

To find the value of α^4β^3 + α^3β^4, we first need to find the sum and product of the roots of the quadratic polynomial f(t) = t^2 - 4t + 3. The sum of the roots (α + β) = -(-4) = 4 The product of the roots (αβ) = 3 Now, we can use these values to find the desired expression: α^4β^3 + α^3β^4 = α^3β^3(α + β) = α^3β^3 * 4 (since α + β = 4) = 4 * (αβ)^3 = 4 * 3^3 = 4 * 27 = 108 Therefore, the value of α^4β^3 + α^3β^4 is 108.

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Find the degree of the following polynomials of t⁸-3t⁷+2t⁵-6t²/t²

Posted by Faiza Asad 1 week, 1 day ago

CBSE > Class 10 > Mathematics

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Students of a class are made to stand in rows. If 4 students are extra in a row. there would be two rows less. If 4 students are less in a row there would be 4 more rows. Find the number of students in class.

Posted by Durgesh Kavate 1 week, 2 days ago

CBSE > Class 10 > Mathematics

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Posted by Priyal Khandelwal 6 days, 9 hours ago

CBSE > Class 10 > Mathematics

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A train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km at an average speed of 6km/hr than its original speed.if it takes 3 hours to complete total journey ,what is the original average speed?

Posted by Pritika Limboo 1 week, 2 days ago

CBSE > Class 10 > Mathematics

1 answers

Bhavya Sharma 1 week, 2 days ago

Let x be the original average speed of the train in km/hr. We know the total distance traveled is 63 km + 72 km = 135 km. We can express the time taken for each part of the journey using the formula time = distance / speed. Time for the first 63 km: 63 km / x hours Time for the second 72 km: 72 km / (x + 6) hours (since the speed is 6 km/hr faster than the original speed) The total time taken is 3 hours, so we can set up an equation: 63 km / x hours + 72 km / (x + 6) hours = 3 hours

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Identify √(1029/147)is rational or irrational

Posted by Anmol Singh. 1 week, 4 days ago

CBSE > Class 10 > Mathematics

1 answers

Liza Mariyam 1 week, 2 days ago

Irrational

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The sum of two numbers is 137 and their difference is 43 find the numbers

Posted by Siddharth Gangwani 1 week, 4 days ago

CBSE > Class 10 > Mathematics

2 answers

Devansh Thareja 1 week, 3 days ago

Answer - x + y = 137 90 + 47 = 137 And 90 - 47 = 43 So, the no. are 90 and 47

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Cinderella Fairy 1 week, 4 days ago

Answer is 90 and 47 90 + 47 = 137 90 - 47 = 43 Hope it works 😃

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14 .3 question no.4 answer

Posted by Tage Paul 1 week, 5 days ago

CBSE > Class 10 > Mathematics

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Which of the following are APs? If they form an AP, find the common difference and write three more terms a, a^2,a^3,a^4

Posted by Feneena Shirin 1 week, 5 days ago

CBSE > Class 10 > Mathematics

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On comparing the ratios A1 upon A2, b1 upon b2 and C1 upon C2 find out whether the 3x + 2 y is equals to 5 and 2x - 3y is equals to 7 are consistent or inconsistent

Posted by Komalpreet Kaur 1 week, 5 days ago

CBSE > Class 10 > Mathematics

1 answers

Bhavya Sharma 1 week, 2 days ago

We can analyze whether the two equations 3x + 2y = 5 and 2x - 3y = 7 are consistent (have a solution) or inconsistent (no solution) by comparing the coefficients of x and y in each equation. Here's how: Represent the equations in the general form ax + by = c : Equation 1: 3x + 2y = 5 can be rewritten as 3x + 2y - 5 = 0 (by subtracting 5 from both sides) Coefficients: a1 = 3, b1 = 2, c1 = -5 Equation 2: 2x - 3y = 7 can be rewritten as 2x - 3y - 7 = 0 (by subtracting 7 from both sides) Coefficients: a2 = 2, b2 = -3, c2 = -7 Compare the ratios of corresponding coefficients: a1/a2 = 3/2 (ratio of x coefficients) b1/b2 = 2/-3 (ratio of y coefficients) Consistency analysis: A system of equations is consistent if the ratios a₁/a₂ and b₁/b₂ are not equal but not negative inverses of each other. In this case: a₁/a₂ ≠ b₁/b₂ (3/2 ≠ -2/3) a₁/a₂ is not the negative inverse of b₁/b₂ (3/2 ≠ 3/(-2)) Therefore, the two equations 3x + 2y = 5 and 2x - 3y = 7 are consistent. This means they have a common solution (a specific value for x and y that validates both equations).

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Bar graph on percentage of s Cash crops grown in India

Posted by Mrunal Jadhao 1 week, 6 days ago

CBSE > Class 10 > Mathematics

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What is value of cot15

Posted by Harsh Chaudhari 1 week, 6 days ago

CBSE > Class 10 > Mathematics

1 answers

Aditya Raj 1 week, 5 days ago

The value of cot 15° is approximately 3.7321, or 2 + √3.

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Prove that 7 − 2√3 is an irrational number.

Posted by King . 1 week, 6 days ago

CBSE > Class 10 > Mathematics

2 answers

Harsh Chaudhari 1 week, 6 days ago

Let's assume tha 7-2√3 is rational Now, 7-2√3 = a/b (where b is not equal to 0) 2√3 = a+7/b √3. = a+7/2b We can write b in the form √3/b So, if √3 can be written in the form of p/q so it's rational. But it's universal fact tha √3 is irrational "it can not write in form of p/q" Are assumption is wrong that 7-2√3 is rational. Hence, it's not rational than its irrational. Hence, Porved

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Khushal Kamble 1 week, 6 days ago

Proof

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If alpha and beta are the zeroes of the quadratic polynomial f(x)=x²–px+q, prove that alpha² ÷ beta² + beta² ÷ alpha ² = p²÷q²–4p²÷q +2 .

Posted by Mehak Ruhil 2 weeks ago

CBSE > Class 10 > Mathematics