Step By Step-
xx−2+x−1x+1=−1x2−1x=−1Step 1: Multiply both sides by x.x2−1=−xx2−1−(−x)=−x−(−x)(Subtract -x from both sides)x2+x−1=0x=−b±√b2−4ac2a(Use quadratic formula with a=1, b=1, c=-1)x=−(1)±√(1)2−4(1)(−1)2(1)x=−1±√52x=−12+12√5 or x=−12+−12√5Check answers. (Plug them in to make sure they work.)x=−12+12√5(Works in original equation)x=−12+−12√5(Works in original equation)Answer:x=−12+12√5 or x=−12+−12√5
