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  • 1 answers

Nipun Goyal 7 years, 7 months ago

0<r<3 So r can be =0,1,2 Case 1: (3m)cube=27m cube 9(3m cube) It is in the form 9m. Case 2: (3m +1)cube =(3m) cube +1+3(3m)(3m+1) =27m cube +1+27m square +9m =9(3m cube +3m square +m) +1 It is in the form 9m+1. Case 3: (3m+2)cube =(3m) cube +(2)cube +3(3m)(2) (3m+2) =27m cube +8+54m square +36m =9(3m cube+6m square +4m)+8 It is in the form 9m+8. So, the cube of any positive integer is of the form 9m,9m+1,9m+8.
  • 1 answers

Sia ? 6 years, 6 months ago

Let {tex}\alpha,\beta{/tex} be the zeros of the polynomial {tex}f(x)=x^2-8x+k{/tex}.
Sum of zeroes = {tex} \alpha + \beta = - \left( \frac { - 8 } { 1 } \right) = 8{/tex} and, Product of zeroes = {tex} \alpha \beta = \frac { k } { 1 } = k{/tex}
Now, 
{tex} \alpha ^ { 2 } + \beta ^ { 2 } = 40{/tex}

{tex} \Rightarrow \alpha ^ { 2 } + \beta ^ { 2 }+2 \alpha\beta-2 \alpha\beta= 40{/tex}
{tex} \Rightarrow \quad ( \alpha + \beta ) ^ { 2 } - 2 \alpha \beta = 40{/tex}
{tex} \Rightarrow \quad 8 ^ { 2 } - 2 k = 40{/tex}
{tex} \Rightarrow \quad 2 k = 64 - 40 {/tex}

{tex}\Rightarrow 2 k = 24 {/tex}

{tex}\Rightarrow k = 12{/tex}

  • 3 answers

Amitabh Mondal 7 years, 7 months ago

Yes ;by contadication fact

Deeksha Kalyan 7 years, 7 months ago

Yes root 2 is irrational

Rashim Maan 7 years, 7 months ago

Yes
  • 2 answers

Harsh Pandey 7 years, 7 months ago

X2-7x-12 X square Minos seven X Minos twelve

Anushka Singhai 7 years, 7 months ago

3
  • 0 answers
  • 1 answers

Mandeep Singh Saini 7 years, 7 months ago

Any natural number
  • 2 answers

Mukul Yadav 7 years, 7 months ago

Only 1 zero

Jyothi Rangdal 7 years, 7 months ago

2 zeroes,
  • 2 answers

Jyothi Rangdal 7 years, 7 months ago

Always 1

Sabir Ali 7 years, 7 months ago

1
  • 1 answers

Sia ? 6 years, 6 months ago

 LCM  of ( 4,7,13) = 364
Largest 4 digit number = 9999
On dividing 9999 by 364 we get remainder as 171
Greatest number of 4 digits divisible by 4, 7 and 13 = (9999 – 171) = 9828
Hence, required number = (9828 + 3) = 9831
Therefore 9831 is the number.

  • 1 answers

Jyothi Rangdal 7 years, 7 months ago

HCF of 52 and 91 is 13. So speed is 13 minutes per km
Ask
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  • 1 answers

Mukul Yadav 7 years, 7 months ago

I am not sure i think -1/9
  • 1 answers

Tamanna Soni 7 years, 7 months ago

2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,
  • 1 answers

Sia ? 6 years, 4 months ago

By Euclid's division algorithm
225 = 135 {tex}\times{/tex} 1 + 90
135 = 90 {tex}\times{/tex} 1 + 45
90 = 45 {tex}\times{/tex} 2 + 0
hence the HCF is 45

  • 3 answers

Jyothi Rangdal 7 years, 7 months ago

The points where it cuts are the roots of that polynomial

Jyothi Rangdal 7 years, 7 months ago

It will be a ' S ' shape curve which cuts x - axis at any three points

Deepthi Sailu 7 years, 7 months ago

Not from polynomials
+-
  • 1 answers

Mukul Yadav 7 years, 7 months ago

-
  • 1 answers

Anagha Mathkari Anu 7 years, 7 months ago

11 square+13 square=121+169=290 Hope it helps u...
  • 2 answers

Kunal Rajour 7 years, 7 months ago

Lemma are the proven statemets that ae used to prove other statements while algorithems are are the steps to provestatements.

Aashu Singh 7 years, 7 months ago

Algorithm means to Solve anything step by step and lemma means a prove statement
  • 3 answers

Mukul Yadav 7 years, 7 months ago

x=-2 ,y=5

Aashu Singh 7 years, 7 months ago

I think it is cross multiplication method not multiplication

Badal Gupta 7 years, 7 months ago

X=-2 y=5
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  • 3 answers

Mukul Yadav 7 years, 7 months ago

Sum of zeros = -b/a = -0/8 =0 , product of zeros = c/a = -4/8 = -1/2

Anagha Mathkari Anu 7 years, 7 months ago

Product of zeroes=constant term/coefficient of x square = -4/8 = -1/2 = c/a = -4/8 = -1/2 Sum of zeroes=-coefficient of x/coefficient of x square = -0/8 = 0 = -b/a = -0/8 = 0 Hence, verified... Hope it helps u...

Varsha Vishnoi 7 years, 7 months ago

8x²-4 =4(x²-4)
  • 1 answers

Saurav Kumar 7 years, 7 months ago

When the number divides 245 and 1037 , leave remainder 5. So, the number must divide 245-5 =240 and 1037-5 =1032. The required number is the HCF of 240 and 1032. By Euclid division lemma 240=2*2*2*2*3*5 1032=2*2*2*3*43 HCF of 240 and1032 = 2*2*2*3 =24 So, the required number is 24.
  • 4 answers

Kunal Rajour 7 years, 7 months ago

(a+b)(a+b)-2ab

Anagha Mathkari Anu 7 years, 7 months ago

ur answer is... a square+2ab+b square Hope it helps u

Manab Das 7 years, 7 months ago

The question is wrong if we try to solve this it will come (a) sqr+(b) sqr

Himanshu Shrivastav 7 years, 7 months ago

Wrong question

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