Math, asked by harshitboy70, 9 months ago

solve for x:- x+1/x-1 + x-2/x+1=3​

Answers

Answered by ranaabhi1103
1

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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