Math, asked by mehfoozkhan0454, 9 months ago

if X square + 1 by x is equal to 7 find the value of x square + 1 by x square​

Answers

Answered by Anonymous
15

Correct Question:

If x + 1/x = 7, then find the value of x² + 1/x²

AnswEr:

x² + 1/x² = 47

ExplanaTion:

We know that,

( a + b )² = a² + b² + 2ab

Compare, a = x and b = 1/x

Put the value of x + 1/x.

=> (7)² = x² + 1/x² + 2x ( 1/x )

=> 49 = x² + 1/x² + 2

=> 49 - 2 = x² + 1/x²

=> x² + 1/x² = 47

Hence, value of x² + 1/x² is 47.

Answered by saivivek16
1

Step-by-step explanation:

Aloha !

\text {This is Twilight Astro^_^}

 Your Answer:-

x²+1/x²=7

Considering x=a and 1/x=b

(a+b)²=(7)²

a²+b²+2ab=49

(x)²+(1/x)²+2x.1/x=49

x²+1/x²+2x/x=49

x²+1/x²+2=49

x²+1/x²=49-2

x²+1/x²=47

concept we here is one of algebra identity (a+b)²=a²+b²+2ab.

Thank you

@ Twilight Astro ✌️☺️♥️

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