Question

solve for x:x^2+1/x^2=82/9​

Answer 1

Answer:

Step-by-step explanation So if the question is x²+1/x²=82/9

Then,

(x⁴+1)9=82x²

Let x²=t

9t²+9=82t

9t²-82t+9=0

By solving it using quadratic formula

t=1/9,9

therefore,

x²=1/9. Or. x²=9

Therefore x= +1/3,-1/3,+3,-3