Question

if x²+1/x²=6, find the value of x⁴+1/x⁴​

Answer 1

Answer:

4$x^{2} + \frac{1}{x^{2} } = 6\\squaring\ both\ sides\\using\ (a+b)^{2} = a^{2} + b^{2} + 2ab\\x^{4}+\frac{1}{x^{4} } +2=6\\Therefore,x^{4}+\frac{1}{x^{4} } =4$

Step-by-step explanation: