Chapter 9

Solve by completing the square. $$x 2+x-1=0$$

Perform the operations. $$ 15+4 i $$

Solve by extracting the roots. $$ x_{2}-8=0 $$

Choose the appropriate method to solve the following. $$ 36 y 2=2 y $$

Use the quadratic formula to solve the following. $$8 t 2+8 t+1=0$$

Solve by completing the square. $$x 2+x-3=0$$

Use the quadratic formula to solve. $$ 2 y 2-3 y+5=0 $$

Choose the appropriate method to solve the following. $$ 50 y 2=-10 y $$

Solve by completing the square. $$y_{2}+3 y-2=0$$

Use the quadratic formula to solve the following. $$x_{2}-2=0$$

Use the quadratic formula to solve. $$ 5 x 2-36=0 $$

Solve by extracting the roots. $$ x_{2}+8=0 $$

Choose the appropriate method to solve the following. $$ x(x-6)=-29 $$

Solve by completing the square. $$y 2+5 y-3=0$$

Use the quadratic formula to solve. $$ 7 x 2+2 x=0 $$

Use the quadratic formula to solve the following. $$x 2-18=0$$

Solve by extracting the roots. $$ x_{2}+125=0 $$

Choose the appropriate method to solve the following. $$ x(x-4)=-16 $$

Solve by completing the square. $$x 2+3 x+5=0$$

Use the quadratic formula to solve the following. $$9 x_{2}-3=0$$

Use the quadratic formula to solve. $$ -x 2+5 x+1=0 $$

Solve by extracting the roots. $$ 16 x 2-27=0 $$

Choose the appropriate method to solve the following. $$ 4 y(y+1)=5 $$

Graph. Find the vertex and the y-intercept. In addition, find the \(x\) - intercepts if they exist. $$ y=x 2-2 x-2 $$

Solve by completing the square. $$x_{2}+x+1=0$$

Use the quadratic formula to solve. $$ -4 x 2-2 x+1=0 $$

Solve by extracting the roots. $$ 9 x 2-8=0 $$

Choose the appropriate method to solve the following. $$ 2 y(y+2)=3 $$

Graph. Find the vertex and the y-intercept. In addition, find the \(x\) - intercepts if they exist. $$ y=x 2-6 x+6 $$

Solve by completing the square. $$x_{2}-7 x+112=0$$

Use the quadratic formula to solve. $$ t 2-12 t-288=0 $$

Solve by extracting the roots. $$ 2 y 2-3=0 $$

Choose the appropriate method to solve the following. $$ -3 x 2=2 x+1 $$

Graph. Find the vertex and the y-intercept. In addition, find the \(x\) - intercepts if they exist. $$ y=-2 x 2+6 x-3 $$

Solve by completing the square. $$x 2-9 x+32=0$$

Use the quadratic formula to solve. $$ t 2-44 t+484=0 $$

Perform the operations. $$ 2-4 i 5+3 i $$

Choose the appropriate method to solve the following. $$ 3 x 2+4 x=-2 $$

Solve by extracting the roots. $$ 3 x 2-1=0 $$

Choose the appropriate method to solve the following. $$ 6(x+1) 2=11 x+7 $$

Graph. Find the vertex and the y-intercept. In addition, find the \(x\) - intercepts if they exist. $$ y=x 2+3 x+4 $$

Use the quadratic formula to solve. $$ 9 x(x+1)-5=3 x $$

Solve by extracting the roots. $$ 6 x 2-3=0 $$

Choose the appropriate method to solve the following. $$ 2(x+2) 2=7 x+11 $$

Solve by completing the square. $$x_{2}-1.7 x-0.0875=0$$

Use the discriminant to determine the number and type of solutions. $$ -x 2+5 x+1=0 $$

Use the quadratic formula to solve the following. $$-2 y_{2}+5 y=0$$

Solve by extracting the roots and then solve by using the quadratic formula. Check answer. $$ x_{2}+9=0 $$

Solve by extracting the roots. $$ (x+7) 2-4=0 $$

Choose the appropriate method to solve the following. $$ 9 t 2=4(3 t-1) $$