Question

Solve by using the quadratic formula: Simplify

Answer 1

Answer:

-6 - square root 31, -6 + square root 31

Answer 2

Answer:

x = $\frac{48 - \sqrt{1984} }{-8}$

x = $\frac{48 + \sqrt{1984} }{-8}$

Step-by-step explanation:

-4$x^{2}$ - 48x - 20 = 0

Remember, the quadratic formula is:

x = $\frac{-b +- \sqrt{b^{2} -4ac } }{2a}$

A quardatic equation in standard form is;

a$x^{2}$ + bx + c

Substitute in the values and solve;

$\frac{48 +- \sqrt{(-48)^2 - 4 * (-4) * (-20)} }{2*(-4)}$

Simplify;

$\frac{48 +-\sqrt{2304 -320} }{-8}$

x = $\frac{48 +- \sqrt{1984} }{-8}$

x = $\frac{48 - \sqrt{1984} }{-8}$

x = $\frac{48 + \sqrt{1984} }{-8}$