Question

use the zero product to find the solutions to the equation x^2 + 12 = 7x 1. x = -4 or x =3 2. x= -4 or x= -3 3. x= -3 or x =4 4. x=3 or x=4

Answer 1

Given the equation :

$x^2+12=7x$

Make all terms at one side:

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

Factor the equation :

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

Using the zero product to find x

So,

x - 4 = 0 OR x - 3 = 0

x = 4 OR x = 3

so, the answer is option 4. x = 3 or x = 4