Solve the following equation using the quadratic formula:2x 2 −x−10=0

The quadratic formula is given by:

x = [-b ± sqrt(b² - 4ac)] / 2a

In the equation 2x² - x - 10 = 0, the coefficients are:

a = 2 b = -1 c = -10

Substitute these values into the quadratic formula:

x = [1 ± sqrt((-1)² - 42(-10))] / 2*2 x = [1 ± sqrt(1 + 80)] / 4 x = [1 ± sqrt(81)] / 4 x = [1 ± 9] / 4

So the solutions are:

x = (1 + 9) / 4 = 2.5 x = (1 - 9) / 4 = -2.0

So the solutions to the equation 2x² - x - 10 = 0 are x = 2.5 and x = -2.0.