Which of the following options presents the solutions to the equation 16x2 + 24x = -9 using the quadratic formula?

The quadratic formula is given by:

x = [-b ± sqrt(b² - 4ac)] / (2a)

In the given equation 16x² + 24x = -9, we can rewrite it as 16x² + 24x + 9 = 0. Here, a = 16, b = 24, and c = 9.

Now, we can substitute these values into the quadratic formula:

x = [-24 ± sqrt((24)² - 4169)] / (2*16) x = [-24 ± sqrt(576 - 576)] / 32 x = [-24 ± sqrt(0)] / 32 x = [-24 ± 0] / 32

So, the solutions to the equation are x = -24/32 = -3/4.

The quadratic formula is given by:

x = [-b ± sqrt(b² - 4ac)] / (2a)

In the given equation 16x² + 24x = -9, we can rewrite it as 16x² + 24x + 9 = 0. Here, a = 16, b = 24, and c = 9.

Now, we can substitute these values into the quadratic formula:

x = [-24 ± sqrt((24)² - 4169)] / (2*16) x = [-24 ± sqrt(576 - 576)] / 32 x = [-24 ± sqrt(0)] / 32 x = [-24 ± 0] / 32

So, the solutions to the equation are x = -24/32 = -3/4.