Question

The solutions to the equation 2x^2+x-1=2 are x=-3/2 or x= __?__

Answer 1

Explanation:

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Answer 2

x₁ = 1

x₂ = - 3/2

Explanation:

2x² + x - 1 = 2

2x² + x - 1 - 2 = 0

2x² + x - 3 = 0

2x² + 3x - 2x - 3 = 0

x(2x + 3) - (2x + 3) = 0

(x - 1)(2x + 3) = 0

x - 1 = 0 => x₁ = 1

2x + 3 = 0 => 2x = - 3 => x₂ = - 3/2