Question

if x square +1÷x square=6 find the value of cruise to power 4 +1÷x raise to power 4

Answer 1

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


Square on both sides,


${( {x}^{2} + \frac{1}{ {x}^{2} }) }^{2} = {6}^{2} \\ \\ \\ => {x}^{4} + \frac{1}{ {x}^{4} } + 2 = 36 \\ \\ = > {x}^{4} + \frac{1}{ {x}^{4} } = 36 - 2 \\ \\ \\ = > {x}^{4} + \frac{1}{ {x}^{4} } = 34$

Answer 2

Answer:

$\Large\bf\underline\red{Hola \ !!!}$

$\huge\star\underline\mathfrak\green{Answer}$

$\huge{Given}$

x²+1/x²=6

On squaring both sides

➾(x²+1/x²)²=(6)²

➾(x²)²+(1/x²)²+2×x²×1/x²=36

➾x⁴+1/x⁴+2=36

➾x⁴+1/x⁴=36-2

➾x⁴+1/x⁴=34

Therefore,The value ofx⁴+1/x⁴=34.

Hope it's helpful✓