Math, asked by Yembar, 7 months ago

If x¹+x‐¹ = 4, find the value of x³ +
1/x³​

Answers

Answered by ExElegant
2

\huge{\mathbb{\red{ANSWER:-}}}

x¹ + x-¹ = 4

x + \dfrac{1}{x} = 4

Doing cube both side-

(x + \dfrac{1}{x})^3 = (4)^3

\small\boxed{(a+b)^3 = a^3 + b^3 + 3ab(a+b)}

(x)^3+(\dfrac{1}{x})^3+3(x)(\dfrac{1}{x})(x+\dfrac{1}{x})=64

x^3 + \dfrac{1}{x^3} + 3(4) = 64

x^3 + \dfrac{1}{x^3} + 12 = 64

x^3 + \dfrac{1}{x^3} = 52

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