Solve the equation. Round to the nearest hundredth if necessary.
x^2 + x - 30 = 0
To solve the quadratic equation x^2 + x - 30 = 0, we can use factoring or the quadratic formula. Let's use factoring in this case:
x^2 + x - 30 = 0
To factor the equation, we look for two numbers whose product is -30 and whose sum is 1 (the coefficient of x). These numbers are 6 and -5.
(x + 6)(x - 5) = 0
Setting each factor equal to zero, we get:
x + 6 = 0 --> x = -6
x - 5 = 0 --> x = 5
Therefore, the two solutions to the equation x^2 + x - 30 = 0 are x = -6 and x = 5.