Question

-4x^2 - 72 x - 324 = 0

Answer 1

Ответ: - 9

D=b²-4ac= 72²-4*(-4)*(-324)=0 (1 решение)

х= ( -b+/-√D) /2a = 72/2*(-4)=-9

Answer 2

To solve the quadratic equation $-4x^2 - 72x - 324 = 0$, we can use the quadratic formula:

The quadratic formula is given by: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

In this equation, $a$, $b$, and $c$ are the coefficients from the quadratic equation $ax^2 + bx + c = 0$.

In the given equation $-4x^2 - 72x - 324 = 0$:

• $a = -4$
• $b = -72$
• $c = -324$

Now we can plug these values into the quadratic formula:

$x = \frac{-(-72) \pm \sqrt{(-72)^2 - 4 \times (-4) \times (-324)}}{2 \times (-4)}$

$x = \frac{72 \pm \sqrt{5184 - 5184}}{-8}$

$x = \frac{72 \pm \sqrt{0}}{-8}$

Since the discriminant is zero, there is only one real root:

$x = \frac{72}{-8}$

$x = -9$