Question

Solve x2 - x - 30 = 0 a. x = 3 and x = -10b. x = -5 and x = 6c. x = 2 and x = -15d. x = 5 and x = -6

Answer 1

To solve the given equation, it is necessary to factor the expression, this way:

`\begin{gathered} x^2-x-30=0 \\ (x-6)(x+5)=0 \end{gathered}`

Now, for that product to be 0, one of the factor must be 0. It means:

`\begin{gathered} x-6=0 \\ x=6 \\ x+5=0 \\ x=-5 \end{gathered}`

The answer is b. x=-5 and x=6.