For this case we must find the x-intersepts values of the following equation:
[tex]y = -4x ^ 2 + 8x + 12[/tex]
Doing y = 0 we have:
[tex]0 = -4x ^ 2 + 8x + 12[/tex]
Dividing between -4 on both sides of the equation:
[tex]x ^ 2-2x-3 = 0[/tex]
We factor, we look for two numbers that when multiplied by -3 and when added by -2. These are -3 and 1:
[tex]-3 + 1 = -2\\-3 * 1 = -3\\(x-3) (x + 1) = 0[/tex]
Thus, the x-intercepts values are:
[tex]x_ {1} = 3\\x_ {2} = - 1[/tex]
Answer:
[tex]x_ {1} = 3\\x_ {2} = - 1[/tex]
