1.

x^2 %2B 1/(x^2)=98*(text*(x^3*(t*(h*(e*(n*(t*(h*(e*(v*(a*(l*(u*(e*(f*o))))))))))))))) %2B 1/(x^3)

Answer»

Given : x^2 + 1/x^2 = 98 ---- ( 1 )

We take :(x + 1/x)^2 = x^2 + 1/x^2 + 2( x )(1/x)⇒( x + 1/x)^2 = x^2 + 1/x^2 + 2,

Substitute value from equation 1 and get ⇒( x + 1/x)^2 = 98 + 2 ⇒( x + 1/x)^2 = 100⇒( x + 1/x) = 10

Taking whole cube on both hand side and get ⇒( x + 1/x)^3 = 10^3⇒x^3 + 1/x^3 + 3 (x)^2 (1/x) + 3(x)(1/x)^2 = 1000⇒x^3 + 1/x^3 + 3x + 3/x = 1000⇒x^3 + 1/x^3 + 3(x + 1/x) = 1000⇒x^3 + 1/x^3 + 3 × 10 = 1000⇒x^3 + 1/x^3 + 30 = 1000⇒x^3 + 1/x^3 = 970



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