Question

(b) If x² + 1/x²
= 6, find the value of x⁴ + 1/x⁴
​

Answer 1

Answer:

=  $x^{4} + \frac{1}{x^{4}}$  = 34.

Step-by-step explanation:

here, $x^{2}+\frac{1}{x^{2}}$ = 6

so, $(x^{2} + \frac{1}{x^{2}})^{2}$ = $6^{2}$                by squaring both sides

  = $x^{4} + \frac{1}{x^{4} } + 2*x^{2}*\frac{1}{x^{2}} = 36$

  = $x^{4} + \frac{1}{x^{4}}$ $+$ $2$ = 36

  =  $x^{4} + \frac{1}{x^{4}}$ = 36 - 2

  =  $x^{4} + \frac{1}{x^{4}}$  = 34

so,  $x^{4} + \frac{1}{x^{4}}$  = 34.

hope it help.