91Ó°ÊÓ

Solve the given equation by the method of completing the square. $$x^{2}+8 x+10=2 x-2$$

Solve each of the following exercises algebraically. Suppose a ball is thrown up into the air in such a way that its height ( \(H\) ) above the ground \(t\) seconds after it is thrown is given by the equation: $$H=-16 t^{2}+80 t+10$$ How high is the ball after 3 seconds? In how many seconds will it be 5 feet above the ground?

Sketch the graph of the given equation. Find the intercepts; approximate to the nearest tenth where necessary. $$y=x^{2}+4 x+4$$

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

Solve the given equation by the method of completing the square. $$(x-3)(x+2)=9 x-1$$

Solve each problem algebraically. Round off your answers to the nearest tenth where necessary. The three points \(P, Q,\) and \(R\) form a right triangle with the right angle at \(Q .\) If the distance from \(P\) to \(Q\) is \(8.6 \mathrm{m}\) and the distance from \(Q\) to \(R\) is \(4.9 \mathrm{m},\) find the distance from \(P\) to \(R\).

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. $$3 y^{2}=32$$

Solve the equation by using the quadratic formula where appropriate. $$(3 w-1)(2 w-3)=w$$

Solve the given equation by the method of completing the square. $$(x-5)(x-4)=7(x+2)$$

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. $$5 z^{2}=48$$