Use the discriminant, b2 - 4ac, to determine the number of solutions of the following quadratic equation. Then solve the quadratic equation using the formula - b ± √b² - 4ac
2a
8x2 = x + 2

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Ten times the square of a non-zero number is eqaul to ninety times the number

Solve each quadratic equation by factoring and using the zero product property. 10x + 6 = -2x^2 -2