Question

xpower4+1/xpower4=7,find value xpower2+1/xpower2​

Answer 1

Answer:

√6+1

Step-by-step explanation:

x^4+1/x^4=7

x^4+1=x^4*7

x^4+1=7x^4

x^4-7x^4=-1

-6x^4=-1

6x^4=1

x^4=1/6

x^2=1/√6

x^2+1=1/√6+1=(1+√6)/√6

x^2+1/x^2=[(1+√6)/√6]/[1/√6]

=√6(√6+1)/√6=√6+1