Question

What are the solutions of the quadratic equation x² - 7x = -12?a. 3 and 4b. -2 and -6c. 2 and 6d. 3 and 4e. -3 and -4

Answer 1

Given the following quadratic equation:

`x²-7x=-12`

We will rewrite the equation in the standard form as follows:

`x^2-7x+12=0`

Factor the equation:

`(x-3)(x-4)=0`

Find the zeros of the equation:

`\begin{gathered} x-3=0\rightarrow x=3 \\ x-4=0\rightarrow x=4 \end{gathered}`

So, the answer will be option a. 3 and 4