Question

Solve for x 2x^2 + x - 1 = 2

Answer 1

x= -3/2 or 1

Explanation:

2x^2 +x-1=2

2x^2 +x-3=0

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

2x+3=0 x-1=0

2x= -3 x=1

x= -3/2 x=1

Answer 2

x = -
`(3)/(2)`, x = 1

Explanation:

Given

2x² + x - 1 = 2 ( subtract 2 from both sides )

2x² + x - 3 = 0 ← in standard form

(2x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
`(3)/(2)`

x - 1 = 0 ⇒ x = 1