Question

if x+1/x=7 then find the value of x2 +1/x2 i need answer with explanation i know only ans and ans is 47 please explain please ​

Answer 1

Step-by-step explanation:

x+1/x = 7

Squaring both sides :-

(x+1/x )^2 = 7^2

x^2 + 1/x^2 + 2×x×1/x = 49

x^2 + 1/x^2 + 2 = 49

x^2+1/x = 47

Answer 2

let me help u with that...

$x + \frac{1}{x} = 7$

so,

${(x + \frac{1}{x}) }^{2} = {7}^{2} \\ \\ {x}^{2} + (2 \times x \times \frac{1}{x} ) + \frac{1}{ {x}^{2} } = 49 \\ \\ {x}^{2} + 2 + \frac{1}{ {x}^{2} } = 49 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 49 - 2 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 47$

hope it helps...

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