91Ó°ÊÓ

identify \(A, B,\) and \(C\) as used in the quadratic formula. $$x^{2}+3 x-5=0$$

In Exercises \(1-64\), solve each of the given equations. If the equation is quadratic, use the factoring or square root method. If the equation has no real solutions, say so. $$x^{2}+4 x=32$$

Solve each of the following exercises algebraically. The width of a rectangle is one third its length. If the area of the rectangle is \(20 \mathrm{sq}\) in., what are the dimensions of the rectangle?

Solve each of the following exercises algebraically. One leg of a right triangle is \(7 \mathrm{cm}\) long, and the hypotenuse is \(15 \mathrm{cm}\) long. What is the length of the other leg?

Identify \(A, B,\) and \(C\) as used in the quadratic formula. $$4 z^{2}=7$$

Solve the given equation by the method of completing the square. $$2 z^{2}-12 z+4=0$$

Sketch the graph of the given equation. Find the intercepts; approximate to the nearest tenth where necessary. $$y=6 x-2 x^{2}$$

Use the method you think is the most appropriate to solve the given equation. Check your answers by using a different method. $$(t+4)(t-8)=13$$

Use the method you think is the most appropriate to solve the given equation. Check your answers by using a different method. $$z^{2}-3 z=3 z-9$$

Sketch the graph of the given equation. Find the intercepts; approximate to the nearest tenth where necessary. $$y=-x^{2}-8 x-5$$