Chapter 9

Solve by completing the square. $$x 2-4 x+9=0$$

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

Solve by completing the square. $$ 3 x 2-6 x+1=0 $$

Perform the operations. $$ -5 i(2-i) $$

Graph. Find the vertex and the y-intercept. In addition, find the \(x\) - intercepts if they exist. $$ y=-x 2-2 x+15 $$

Use the quadratic formula to solve the following. $$-y 2+y+1=0$$

Solve by completing the square. $$ 2 y 2+10 y+1=0 $$

Perform the operations. $$ (2+i)(2-3 i) $$

Solve by extracting the roots. $$ x_{2}-100=0 $$

Use the quadratic formula to solve the following. $$-y_{2}-3 y+2=0$$

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

Perform the operations. $$ (3-5 i)(1-2 i) $$

Solve by extracting the roots. $$ x_{2}-121=0 $$

Choose the appropriate method to solve the following. $$ 9 t 2-6 t+1=0 $$

Use the quadratic formula to solve the following. $$-x_{2}+16 x-62=0$$

Solve by completing the square. $$ x(x+9)=5 x+8 $$

Perform the operations. $$ (1-i)(8-9 i) $$

Choose the appropriate method to solve the following. $$ y 2-4 y-1=0 $$

Graph. Find the vertex and the y-intercept. In addition, find the \(x\) - intercepts if they exist. $$ y=x 2-9 $$

Use the quadratic formula to solve the following. $$-x_{2}+14 x-46=0$$

Solve by completing the square. $$ (2 x+5)(x+2)=8 x+7 $$

Perform the operations. $$ (1+5 i)(5+2 i) $$

Graph. Find the vertex and the y-intercept. In addition, find the \(x\) - intercepts if they exist. $$ y=x 2-25 $$

Solve by completing the square. $$y 2-20 y=-25$$

Identify the coefficients \(a, b,\) and \(c\) used in the quadratic formula. Do not solve. $$ x 2-x+4=0 $$

Perform the operations. $$ (4+3 i) 2 $$

Use the quadratic formula to solve the following. $$4 t 2-8 t-1=0$$

Identify the coefficients \(a, b,\) and \(c\) used in the quadratic formula. Do not solve. $$ -x 2+5 x-14=0 $$

Perform the operations. $$ (2-5 i) 2 $$

Solve by extracting the roots. $$ x_{2}-925=0 $$

Solve by completing the square. $$x 2-0.6 x-0.27=0$$

Use the quadratic formula to solve the following. $$-4 y_{2}+12 y-9=0$$

Perform the operations. $$ (4-2 i)(4+2 i) $$

Solve by extracting the roots. $$ y 2-0.09=0 $$

Graph. Find the vertex and the y-intercept. In addition, find the \(x\) - intercepts if they exist. $$ y=x 2-2 x+1 $$

Solve by completing the square. $$x_{2}-1.6 x-0.8=0$$

Use the quadratic formula to solve the following. $$-25 x_{2}+10 x-1=0$$

Perform the operations. $$ (6+5 i)(6-5 i) $$

Solve by completing the square. $$x 2-23 x-13=0$$

Use the quadratic formula to solve the following. $$3 x 2+6 x+2=0$$

Use the quadratic formula to solve. $$ x 2-6 x+6=0 $$

Perform the operations. $$ (12+23 i)(13-12 i) $$

Solve by extracting the roots. $$ x_{2}-7=0 $$

Choose the appropriate method to solve the following. $$ 12 x 2-94 x+1=0 $$

Use the quadratic formula to solve the following. $$5 x_{2}+10 x+2=0$$

Use the quadratic formula to solve. $$ x 2+10 x+23=0 $$

Perform the operations. $$ (23-13 i)(12-32 i) $$

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

Use the quadratic formula to solve the following. $$9 t 2+6 t-11=0$$

Use the quadratic formula to solve. $$ 3 y 2-y-1=0 $$