91Ó°ÊÓ

Find the values of \(a\) and \(b\) that satisfy the equation. $$5 a+\sqrt{-100}=20+4 b i$$

Solve the quadratic equation by the Square Root Property. (Some equations have no real solutions.) $$5 x^{2}=35$$

Use the Quadratic Formula to solve the quadratic equation. $$-x^{2}=-3 x-4$$

Use a rational equation to solve the problem. A drama club paid \(\$ 570\) for a block of tickets to a musical performance. The block contained three more tickets than the club needed for its members. By inviting 3 more people to attend (and share in the cost), the club lowered the price per ticket by \(\$ 9.50\). How many people are going to the musical?

Determine whether the parabola opens upward or downward. $$y=(x-3)^{2}-2$$

Solve the quadratic equation by completing the square. $$x^{2}+2 x-35=0$$

Find the values of \(a\) and \(b\) that satisfy the equation. $$8+2 b i=2 a+\sqrt{-49}$$

Find the intercepts of the graph of the equation. Then sketch the graph of the equation and label the intercepts. $$y=16-x^{2}$$

Use the Quadratic Formula to solve the quadratic equation. $$-x^{2}+6 x=7$$

Use a rational equation to solve the problem. A science club chartered a bus for \(\$ 360\) to visit a science center. To lower the bus fare per member, the club invited nonmembers to go along. When 6 nonmembers agreed to go on the trip, the fare per person decreased by \(\$ 5\). How many people are going to the science center?