Answer:
Option B
Step-by-step explanation:
Given quadratic equation is,
12a² + 9a + 7 = 0
By comparing this equation with standard quadratic equation,
hx² + kx + c = 0
h = 12, k = 9 and c = 7
By using quadratic formula,
a = [tex]\frac{-k\pm\sqrt{k^2-4hc}}{2h}[/tex]
= [tex]\frac{-9\pm\sqrt{9^2-4(12)(7)}}{2(12)}[/tex]
= [tex]\frac{-9\pm\sqrt{81-336}}{2(12)}[/tex]
= [tex]\frac{-9\pm\sqrt{-255}}{24}[/tex]
= [tex]\frac{-9\pm i\sqrt{255}}{24}[/tex]
a = [tex]\frac{-9+ i\sqrt{255}}{24},\frac{-9- i\sqrt{255}}{24}[/tex]
Therefore, Option B will be the correct option.
