Question

4x2+12x+9=0 qoadratic ​

Answer 1

$\huge \red{answer}$

Answer 2

Answer:

$x = - \frac{3}{2}$

Yes, it is a quadratic equation.

Step-by-step explanation:

$4 {x}^{2} + 12x + 9 = 0 \\ \implies \: 4 {x}^{2} + 6x + 6x + 9 = 0 \\ \implies \: 2x(2x + 3) + 3(2x + 3) = 0 \\ \implies \: (2x + 3)(2x + 3) = 0 \\ \implies {(2x + 3)}^{2} = 0 \\ \implies \: 2x + 3 = 0 \\ \implies \: x = \frac{ - 3}{2}$