Answer:
Let's solve your equation step-by-step.
(
1
4
x)−2(2)=x2
32
x2
=x2
Step 1: Multiply both sides by x^2.
32=x4
32−x4=x4−x4(Subtract x^4 from both sides)
−x4+32=0
−x4+32−32=0−32(Subtract 32 from both sides)
−x4=−32
−x4
−1
=
−32
−1
(Divide both sides by -1)
x4=32
x=±(32)(
1
4
)(Take root)
x=2.378414,−2.378414
Check answers. (Plug them in to make sure they work.)
x=2.378414(Works in original equation)
x=−2.378414(Works in original equation)
Step-by-step explanation:
