Question

In a quadratic equation: Solve -2x^2+18=7x & Solve x^2+5x+6

Answer 1

Answer:

x = 1.72, -5.22

x = -2, -3

Step-by-step explanation:

To solve a quadratic, rearrange the terms into standard form ax² + bx + c. Then factor or use the quadratic formula to solve for x.

-2x²+18 = 7x                  Subtract 7x from both sides

-2x² - 7x + 18 = 0          Solve using quadratic formula a = -2, b = -7 and c = 18

$x = \frac{7 +/- \sqrt{7^2 - 4(-2)(18)} }{2(-2)} = \frac{7 +/-\sqrt{193 } }{-4} = 1.72, -5.22$

x² + 5x + 6                    Factor

(x+2)(x+3)                      Set equal to 0 and solve for x

x+2 = 0 and x +3 = 0      x = -2, -3