91Ó°ÊÓ

Use the discriminant to determine whether the solutions for each equation are A. two rational numbers B. one rational number C. two irrational numbers D. two nonreal complex numbers. Tell whether the equation can be solved by factoring or whether the quadratic formula should be used. Do not actually solve. $$ 4 x^{2}-28 x+49=0 $$

Use the discriminant to determine whether the solutions for each equation are A. two rational numbers B. one rational number C. two irrational numbers D. two nonreal complex numbers. Tell whether the equation can be solved by factoring or whether the quadratic formula should be used. Do not actually solve. $$ 3 x^{2}=5 x+2 $$

Use the discriminant to determine whether the solutions for each equation are A. two rational numbers B. one rational number C. two irrational numbers D. two nonreal complex numbers. Tell whether the equation can be solved by factoring or whether the quadratic formula should be used. Do not actually solve. $$ 4 x^{2}=4 x+3 $$

Find the discriminant for each quadratic equation. Use it to tell whether the equation can be solved by factoring or whether the quadratic formula should be used. Then solve each equation. (a) \(3 x^{2}+13 x=-12\) (b) \(2 x^{2}+19=14 x\)

Find the nonreal complex solutions of each equation. \(-x^{2}-5 x-10=0\)

Solve for \(x .\) Assume that a and b represent positive real numbers. \(9 x^{2}-25 a=0\)

Evaluate \(\sqrt{b^{2}-4 a c}\) for the given values of \(a, b,\) and \(c\). \(a=1, b=-6, c=9\)

Solve each equation for the specified variable. $$ F=\frac{9}{5} C+32 \text { for } C $$