Step-by-step explanation:
Let's solve your equation step-by-step.
x+
1
x
−1−2x+
5
x
−1=6
−x2−2x+6
x
=6
Step 1: Multiply both sides by x.
−x2−2x+6=6x
−x2−2x+6−6x=6x−6x(Subtract 6x from both sides)
−x2−8x+6=0
x=
−b±√b2−4ac
2a
(Use quadratic formula with a=-1, b=-8, c=6)
x=
−(−8)±√(−8)2−4(−1)(6)
2(−1)
x=
8±√88
−2
x=−4−√22 or x=−4+√22
Check answers. (Plug them in to make sure they work.)
x=−4−√22(Works in original equation)
x=−4+√22(Works in original equation)
Answer:
x=−4−√22 or x=−4+√22
