Question

Use the quadratic formula to solve for x. (Enter your answers as a comma-separated list.)

2x2 − 7x − 4 = 0 x =

Answer 1

To solve the quadratic equation 2x^2 - 7x - 4 = 0, use the quadratic formula to find the solutions for x.

Step-by-step explanation:

To solve the quadratic equation 2x^2 - 7x - 4 = 0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions for x can be found using the formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Applying this formula to the given equation, we have: x = (-(-7) ± √((-7)^2 - 4(2)(-4))) / (2(2)) = (7 ± √(49 + 32)) / 4 = (7 ± √81) / 4

Therefore, the solutions for x are x = (7 + 9) / 4 = 4 and x = (7 - 9) / 4 = -1/2.