If x-x-1-11- Then x2-x2-

Given x 1/x = 11 squaring on both sides we get ⇒ (x 1/x)2=112 ⇒ x2+1/x2 2(x)(1/x)=121......(a b)2=a2+b2 2ab ⇒ x2+1/x2 2=121 ⇒ x2+1/x2 = 121+2 = 123 ∴ x2+ ...

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Byju's Answer

Standard IX

Mathematics

Identity (x+y)(x-y)

If x+x-1=11, ...

Question

If x+x^-1 = 11, Then x²+x²= ?

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Solution

Given x - 1/x = 11
squaring on both sides we get

⇒ (x-1/x)²=11²

⇒ x²+1/x²-2(x)(1/x)=121......(a-b)²=a²+b²-2ab

⇒ x²+1/x²-2=121

⇒ x²+1/x² = 121+2 = 123

∴ x²+1/x²=123

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If x+x​​​​​​-1 = 11, Then x​​​​​​2+x​​​​​​2 = ?

Given x - 1/x = 11 squaring on both sides we get ⇒ (x-1/x)2=112 ⇒ x2+1/x2-2(x)(1/x)=121......(a-b)2=a2+b2-2ab ⇒ x2+1/x2-2=121 ⇒ x2+1/x2 = 121+2 = 123 ∴ x2+1/x2=123

If x+x^-1 = 11, Then x²+x²= ?

Given x - 1/x = 11
squaring on both sides we get

⇒ (x-1/x)²=11²

⇒ x²+1/x²-2(x)(1/x)=121......(a-b)²=a²+b²-2ab

⇒ x²+1/x²-2=121

⇒ x²+1/x² = 121+2 = 123

∴ x²+1/x²=123