Question

if x+1/x=5 find the value of x³+1/x³​

Answer 1

Answer:

110

Step-by-step explanation:

$x + \frac{1}{x} =5\\\\(x + \frac{1}{x})^3 = 5^3\\\\x^3 + (\frac{1}{x})^3 + 3(x)(\frac{1}{x})[x +\frac{1}{x} ] = 125\\\\x^3 + \frac{1}{x^3} + 3[5] = 125---(x + \frac{1}{x} = 5)\\\\x^3 + \frac{1}{x^3} = 125 - 115\\\\x^3 + \frac{1}{x^3} = 110$