Which of the following are solutions to the equation below?
Check all that apply
4x²+ 12x+ 9 =25

Answer:
B and C
Step-by-step explanation:
First, we need to get the left side equal to zero. Take away 25 from each side to get [tex]4x^2+12x-16 = 0[/tex].
We can use the quadratic equation of [tex]\frac{-b+ -\sqrt{b^2-4ac} }{2a}[/tex] to find the solutions.
Plug them in to get [tex]\frac{-12+-\sqrt{144 -(-256)} }{8}[/tex].
Simplify.
[tex]\frac{-12+-\sqrt{400} }{8}[/tex]
[tex]\frac{-12+-20}{8}[/tex]
[tex]\frac{8}{8}[/tex] or [tex]\frac{-32}{8}[/tex]
1 and -4
x = 1 and -4