Question

Solve 0 = 4x2+12x+9.

Answer 1

Answer:

$-\frac{3}{2}$

Step-by-step explanation:

The equation is written in the form:

$ax^2 +bx+c=0$

where a=4, b=12 and c=9.

The solutions of the equation above are found with the formula:

$x_{1,2} = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Substituting a,b,c with the respective numbers, we find

$x_{1,2} = \frac{-12\pm \sqrt{(12)^2-4(4)(9)}}{2(4)}=\frac{-12\pm 0}{8}=-\frac{3}{2}$

Answer 2

Solve:

0 = 4x^2 + 12x + 9

ax^2 + bx + c = 0

Only one root

- 1.5

Root

- 1.5

Factored:

f(x) = 4(x + 1.5)^2

Discriminant: 0

Vertex: ( - 1.5, 0)

Sum of roots: ( - b/a): - 3

Product of roots: (c/a): 2.25

Hope that helps!!!!!