solve for x:- x+1/x-1 + x-2/x+1=3
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Answer:
Let's solve your equation step-by-step.
(x+1)(x+1)+(x−2)(x−1)=3(x−1)(x+1)
Multiply all terms by (x-1)(x+1) and cancel:
(x+1)(x+1)+(x−2)(x−1)=3(x−1)(x+1)
2x2−x+3=3x2−3(Simplify both sides of the equation)
2x2−x+3−(3x2−3)=3x2−3−(3x2−3)(Subtract 3x^2-3 from both sides)
−x2−x+6=0
(−x+2)(x+3)=0(Factor left side of equation)
−x+2=0 or x+3=0(Set factors equal to 0)
x=2 or x=−3
Check answers. (Plug them in to make sure they work.)
x=2(Works in original equation)
x=−3(Works in original equation)
Answer:
x=2 or x=−3
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