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Ask QuestionPosted by Akshay Sawant 5 years, 4 months ago
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Posted by Aditya Gour 5 years, 4 months ago
- 2 answers
Yogita Ingle 5 years, 4 months ago
(399)2 = (400 -1)2
= (400)2 + 12 - 2 (400)(1)
= 160000 + 1 - 800
= 159200 + 1
= 159201
Posted by Satbeer Singh 5 years, 4 months ago
- 1 answers
Sia ? 5 years, 4 months ago
Given numbers are {tex}\frac{1}{7}{/tex}and {tex}\frac{2}{7}.{/tex}
{tex}\frac{1}{7}=0.142857142857 \ldots{/tex}
{tex}\Rightarrow \frac{1}{7}=0 . \overline{142857}{/tex}
{tex}\frac{2}{7}=2 \times \frac{1}{7}=0.285714285714 \ldots{/tex}
{tex}\Rightarrow \quad \frac{2}{7}=0 . \overline{285714}{/tex}
To find irrational numbers between {tex}\frac{1}{7}{/tex}and {tex}\frac{2}{7}{/tex}, we find numbers which are non-terminating and non-repeating.
There are infinitely many such numbers lying between {tex}\frac{1}{7}{/tex}and {tex}\frac{2}{7}{/tex}.
Examples:
- 0.150150015000150000 ...
- 0.250250025000250000 ...
etc..
Posted by Satbeer Singh 5 years, 4 months ago
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Posted by Deepshikha Mishra 5 years, 4 months ago
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Posted by Deepshikha Mishra 5 years, 4 months ago
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Posted by Deepshikha Mishra 5 years, 4 months ago
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Sangeeta Gupta 5 years, 4 months ago
Posted by Bakiya Shree 5 years, 4 months ago
- 1 answers
Yogita Ingle 5 years, 4 months ago
(x - 2/3y)2
= x2 + (2/3y)2 - 2 x (2/3y)
= x2 + 4/9 y2 - 4/3 xy
Posted by Bakiya Shree 5 years, 4 months ago
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Posted by Manish Sood 5 years, 4 months ago
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Posted by Payal Thakur 5 years, 4 months ago
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Sia ? 5 years, 4 months ago
Let f(x) = 2x3 - 3x2 - 17x + 30 be the given polynomial. The factors of the constant term +30 are {tex}\pm 1, \pm 2, \pm 3, \pm 5, \pm 6, \pm 10, \pm 15, \pm 30{/tex}. The factor of coefficient of x3 is 2. Hence, possible rational roots of f(x) are:
{tex}\pm 1, \pm 3, \pm 5, \pm 15, \pm \frac{1}{2}, \pm \frac{3}{2}, \pm \frac{5}{2}, \pm \frac{{15}}{2}{/tex}
We have f(2) = 2(2)3 - 3(2)2 - 17(2) + 30
= 2(8) - 3(4) - 17(2) + 30
= 16 - 12 - 34 + 30 = 0
And f(-3) = 2(-3)3 - 3(-3)2 - 17(-3) + 30
= 2(-27) - 3(9) - 17(-3) + 30
= -54 - 27 + 51 + 30 = 0
So, (x - 2) and (x + 3) are factors of f(x).
{tex}\Rightarrow{/tex} x2 + x - 6 is a factor of f(x).
Let us noe divide f(x) = 2x3 - 3x2 - 17x + 30 by x2 + x - 6 to get the other factors of f(x).
Factors of f(x).
By long division, we have
{tex}\therefore{/tex} 2x3 - 3x2 - 17x + 30 = (x2 + x - 6)(2x - 5)
{tex}\Rightarrow{/tex} 2x3 - 3x2 - 17x + 30 = (x - 2)(x + 3)(2x - 5)
Hence, 2x3 - 3x2 - 17x + 30 = (x - 2)(x + 3)(2x - 5)
Posted by Jivitesh Nagpal 5 years, 4 months ago
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Posted by Latha Ganta 5 years, 4 months ago
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Posted by Vimal Chand 5 years, 4 months ago
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Sia ? 5 years, 4 months ago
{tex}\frac{(16)^{\frac{3}{4}}}{(16)^{\frac{1}{4}}}=(16)^{\frac{3}{4}-\frac{1}{4}}=(16)^{\frac{1}{2}}=4.{/tex}
Posted by Sulbha Tipale 5 years, 4 months ago
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Posted by Aditya Mishra Smhs Chintal, X-A Hyd 5 years, 4 months ago
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Posted by Apsar Shaik 5 years, 4 months ago
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Posted by Aakash Kumar 5 years, 4 months ago
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Stella Antony 5 years, 4 months ago
Posted by Anu Rai 5 years, 4 months ago
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Posted by Samarth Jain 5 years, 4 months ago
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Yogita Ingle 5 years, 4 months ago
⇒a³-8b³-64c³+24abc
⇒ a³+(-2b)³+(-4c)³ -3 × a × (-2b) × (4c)
⇒ X³+Y³+Z³-3XYZ , where a = X , Y = (-2b) , Z = (-4c)
⇒ (X+Y+Z)(X²+Y²+Z²- XY- YZ- ZX)
⇒ [(a +(-2b) + (-4c) ] × [ a² + (-2b)² + (-4c)² -a (-2b)-(-2b) (-4c) -a(-4c) ]
⇒ (a-2b-4c)(a²+4b²+16c²+2ab-8bc+4ac).
Posted by Ravi Davda 5 years, 4 months ago
- 1 answers
Yogita Ingle 5 years, 4 months ago
Integers is the set of all the whole number plus the negative of Natural Numbers. The natural numbers without zero are commonly referred to as positive integers . Natural numbers with zero are referred to as non-negative integers.
Z=..,−7,−6,−5,−4,−3,−2,−1,0,1,2,3,4,5,6,..
Posted by Asmit Mishra 5 years, 4 months ago
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Posted by Vikas Raj 5 years, 4 months ago
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Posted by Dibyaraj Kanhar 5 years, 4 months ago
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Misha Thapar 5 years, 4 months ago
Hariom Dalal 5 years, 4 months ago
Posted by Deepshikha Mishra 5 years, 4 months ago
- 2 answers
Hariom Dalal 5 years, 4 months ago
Advaitha Sajeev 5 years, 4 months ago
Posted by ? Ishika ?? 5 years, 4 months ago
- 2 answers
Hariom Dalal 5 years, 4 months ago
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