Question

Solve the quadratic by factoring. 2, x, squared, minus, 9, x, minus, 2, equals, minus, 6 2x 2 −9x−2=−6

Answer 1

To solve the quadratic equation 2x^2 - 9x - 2 = -6 by factoring, move all terms to one side of the equation, simplify the equation, factor the quadratic equation, set each factor equal to zero and solve for x. Therefore, the solutions to the quadratic equation are x = 1/2 or x = 4.

Step-by-step explanation:

To solve the quadratic equation 2x^2 - 9x - 2 = -6 by factoring:

1. Move all terms to one side of the equation: 2x^2 - 9x - 2 + 6 = 0
2. Simplify the equation: 2x^2 - 9x + 4 = 0
3. Factor the quadratic equation: (2x - 1)(x - 4) = 0
4. Set each factor equal to zero and solve: 2x - 1 = 0 or x - 4 = 0
5. Solve for x: x = 1/2 or x = 4

Therefore, the solutions to the quadratic equation are x = 1/2 or x = 4.