91Ó°ÊÓ

First use the discriminant to determine whether the equation has two nonreal complex solutions, one real solution with a multiplicity of two, or two real solutions. Then solve the equation. $$2 x^{2}-x+5=0$$

Solve each inequality and graph its solution set on a number line. $$(3 x+2)(2 x-3) \geq 0$$

Solve each of the quadratic equations by factoring and applying the property, \(a b=0\) if and only if \(a=0\) or \(b=0\). If necessary, return to Chapter 3 and review the factoring techniques presented there. $$6 y^{2}-24 y=0$$

Solve each quadratic equation using the method that seems most appropriate to you. $$x^{2}+20 x=25$$

Solve each quadratic equation by using (a) the factoring method and (b) the method of completing the square. $$x^{2}+3 x-18=0$$

Label each statement true or false. The imaginary part of the complex number 7 is 0 .

First use the discriminant to determine whether the equation has two nonreal complex solutions, one real solution with a multiplicity of two, or two real solutions. Then solve the equation. $$15 x^{2}+17 x-4=0$$

Label each statement true or false. The sum of two complex numbers is sometimes a real number.

Solve each of the quadratic equations by factoring and applying the property, \(a b=0\) if and only if \(a=0\) or \(b=0\). If necessary, return to Chapter 3 and review the factoring techniques presented there. $$5 n^{2}-9 n=0$$

Solve each quadratic equation using the method that seems most appropriate to you. $$2 x^{2}-3 x+4=0$$