Question

(x +1/x)2 =4+3/2(x-1/x) reducing them to quadratic equation​

Answer 1

Answer:

I don't know this answer sorry bro

Answer 2

Answer:

Let's solve your equation step-by-step.

(x+1x)(2)=4+32(x−1x)

2x2+2x=3x2+8x−32x

Step 1: Multiply both sides by x.

2x2+2=3x2+8x−32

Step 2: Multiply both sides by 2x.

4x3+4x=3x3+8x2−3x

4x3+4x−(3x3+8x2−3x)=3x3+8x2−3x−(3x3+8x2−3x)(Subtract 3x^3+8x^2-3x from both sides)

x3−8x2+7x=0

x(x−1)(x−7)=0(Factor left side of equation)

x=0 or x−1=0 or x−7=0(Set factors equal to 0)

x=0 or x=1 or x=7

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

x=0(Doesn't work in original equation)

x=1(Works in original equation)

x=7(Works in original equation)

Answer:

x=1 or x=7