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