Answer:
x = - 1.37 or x = 0.37
Explanation:
2x^2 + 2x -1 = 0 divide the equation by 2 so that the coefficient of x^2 = 1)
(2x^2 + 2x - 1 = 0)/2
= x^2 + x - 1/2 = 0
= x^2 + x = 0.5 ( divide the coefficient of x^2 by 2 and square it )
= (1/2)^2 = 0.5^2 = 0.25
Add 0.25 to both sides of the equation:
x^2 + x + 0.25 = 0.5 + 0.25
(x + 0.5)^2 = 0.75 ( square root both sides)
x + 0.5 = square root +- 0.75
x = - 0.5 +- 0.87
x = - 0.5 + 0.87 = 0.37
x = - 0.5 - 0.87 = -1.37