Question

(x+1/x)(x-1/x)=5 check whether it is a quadratic equation​

Answer 1

Answer:

x=2.278724 or x=−2.278724

Step-by-step explanation:

(x+

1

x

)(x−

1

x

)=5

x4−1

x2

=5

Step 1: Multiply both sides by x^2.

x4−1=5x2

x4−1−5x2=5x2−5x2(Subtract 5x^2 from both sides)

x4−5x2−1=0

(Use quartic formula)

x=−2.278724,2.278724

Check answers. (Plug them in to make sure they work.)

x=2.278724(Works in original equation)

x=−2.278724(Works in original equation)

Answer:

x=2.278724 or x=−2.278724