Find the solutions to the quadratic equation x^2 + 3x - 10 = 0

Answer 1

Since 5(-2) = 10 and 5+(-2) = 3, you can factor the equation to (x-2)(x+5) = 0. Separate the equations and set them both equal to 0; x-2 = 0 and x+5 = 0. Solve for x to get x = 2, -5.

Answer 2

x^2 + 3x - 10 = 0

factor the left side of the equation

(x + 5)(x - 2) = 0

set each factor equal to 0

x + 5 = 0 and x - 2 = 0

solve each equation for x

x = -5 and x = 2