91Ó°ÊÓ

In Exercises \(11-30,\) solve the given quadratic equations by completing the square. Exercises \(11-14\) and \(17-20\) may be checked by factoring. $$n^{2}=4 n-2$$

solve the given quadratic equations, using the quadratic formula. Exercises \(5-8\) are the same as Exercises \(11-14\) of Section 7.2. $$3 y^{2}=3 y+2$$

In Exercises \(11-30,\) solve the given quadratic equations by completing the square. Exercises \(11-14\) and \(17-20\) may be checked by factoring. $$(R+9)(R+1)=13$$

Sketch the graph of each parabola by using the vertex, the \(y\) -intercept, and two other points, not including the \(x\) -intercepts. Check the graph using a calculator. \(y=-3 x^{2}-x\)

$$\text { Solve the given quadratic equations by factoring.}$$ $$x^{2}+30=11 x$$

solve the given quadratic equations, using the quadratic formula. Exercises \(5-8\) are the same as Exercises \(11-14\) of Section 7.2. $$3 x^{2}=3-4 x$$

Solve the given quadratic equations by completing the square. Exercises \(11-14\) and \(17-20\) may be checked by factoring. $$(R+9)(R+1)=13$$

Solve the given quadratic equations by factoring. $$x^{2}+30=11 x$$

Solve the given quadratic equations by completing the square. Exercises \(11-14\) and \(17-20\) may be checked by factoring. $$v(v+2)=15$$

solve the given quadratic equations, using the quadratic formula. Exercises \(5-8\) are the same as Exercises \(11-14\) of Section 7.2. $$z+2=2 z^{2}$$