Math, asked by prathajha, 1 month ago

If X -1/X=7, find the value of ( x²+1/ x²)​

Answers

Answered by dkggwl1990
1

Answer:

Step-by-step explanation:

given

x-\frac{1}{x}=7

squaring on both sides we get

(x-\frac{1}{x})^{2} = 7^{2}

we know that

(a-b)^{2}=a^{2}+b^{2}-2ab

here

a=x  , b=\frac{1}{x}

applying this formula

(x-\frac{1}{x} )^{2} =x^{2}+ (\frac{1}{x}) ^{2} -2x.\frac{1}{x}

substituting value

7^{2}= x^{2}+ (\frac{1}{x}) ^{2} -2

solving

x^{2}+ (\frac{1}{x}) ^{2} =49+2=51     answer

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