To solve the equation:
1. Simplify the left side by finding a common denominator:
x(x-1) - 2(x+1) = -1(x+1)(x-1)
x^2 - x - 2x - 2 = -x^2 + x + x - 1
2x^2 - 4 = 0
2. Solve for x by factoring:
2(x^2 - 2) = 0
x^2 - 2 = 0
(x + √2)(x - √2) = 0
x = √2 or x = -√2
Therefore, the solution set is {√2, -√2}.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the following equation. Show all your work.
x
x
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2
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x
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1
x
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1
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1
1 answer