91Ó°ÊÓ

Evaluate the discriminant, and use it to determine the number of real solutions of the equation. If the equation does have real solutions, tell whether they are rational or irrational. Do not actually solve the equation. $$8 x^{2}=14 x-3$$

Find the center-radius form of the equation of a circle with the given center and radius. Graph the circle. Center \((-2,0),\) radius 5

Evaluate the discriminant, and use it to determine the number of real solutions of the equation. If the equation does have real solutions, tell whether they are rational or irrational. Do not actually solve the equation. $$4 x^{2}=6 x+3$$

Simplify each expression to \(i, 1,-i,\) or \(-1\) $$i^{5}$$

Simplify each expression to \(i, 1,-i,\) or \(-1\) $$i^{8}$$

Evaluate the discriminant, and use it to determine the number of real solutions of the equation. If the equation does have real solutions, tell whether they are rational or irrational. Do not actually solve the equation. $$2 x^{2}-4 x+1=0$$

Find the center-radius form of the equation of a circle with the given center and radius. Graph the circle. Center \((-3,0),\) radius 2

Simplify each expression to \(i, 1,-i,\) or \(-1\) $$i^{15}$$

Evaluate the discriminant, and use it to determine the number of real solutions of the equation. If the equation does have real solutions, tell whether they are rational or irrational. Do not actually solve the equation. $$9 x^{2}+11 x+4=0$$

Find the center-radius form of the equation of a circle with the given center and radius. Graph the circle. Center \((0,4),\) radius \(\sqrt{6}\)