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Magazine Problem 7
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. $$15 x^{2}+17 x-4=0$$
Problem 7
Solve each quadratic equation by using (a) the factoring method and (b) the method of completing the square. $$x(x+7)=8$$
Problem 8
Solve each quadratic equation by using (a) the factoring method and (b) the method of completing the square. $$x(x-1)=30$$
Problem 8
Solve each quadratic equation using the method that seems most appropriate to you. $$3 y^{2}-2 y+1=0$$
Problem 8
Label each statement true or false. The sum of two pure imaginary numbers is always a pure imaginary number.
Problem 8
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. $$8 x^{2}+18 x-5=0$$
Problem 8
Solve each inequality and graph its solution set on a number line. $$(x-1)(2 x-7) \leq 0$$
Problem 8
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. $$4 n^{2}+13 n=0$$
Problem 9
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. $$3 x^{2}+4 x=2$$
Problem 9
Solve each quadratic equation by using (a) the factoring method and (b) the method of completing the square. $$2 n^{2}-n-15=0$$
