if x – 1/x = 5 , find the values of x^2 + 1/x^2 and x ^4 +1 /x ^4 Question if x – 1/x = 5 , find the values of x^2 + 1/x^2 and x ^4 +1 /x ^4 in progress 0 Math Evelyn 2 days 2021-10-12T06:46:43+00:00 2021-10-12T06:46:43+00:00 2 Answers 0 views 0

## Answers ( )

On squaring both sides,

hopeit’shelpful✅✅✅Answer:Now,

For first answer Steps

Squaring both sides will give

(x-1/x) ²=(5)²

x²+1/x²-2=25 Using (a-b) ²= a²-2ab+b²

x²+1/x²=27

Now for second answer

Again squaring both sides give

(x²+1/x²) ²= (27)²

x⁴+1/x⁴+2=729

x⁴+1/x⁴=727