Chapter 9

Part A: Quadratic Formula Identify the coefficients \(a, b\), and c used in the quadratic formula. Do not solve. $$x_{2}-x+5=0$$

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

Calculate the discriminant and use it to determine the number and type of solutions. Do not solve. $$ x 2+2 x+3=0 $$

Does the parabola open upward or downward? Explain. $$ y=x_{2}-9 x+20 $$

Complete the square. $$x_{2}+8 x+?=(x+?) 2$$

Part A: Quadratic Formula Identify the coefficients \(a, b\), and c used in the quadratic formula. Do not solve. $$x 2-3 x-1=0$$

Calculate the discriminant and use it to determine the number and type of solutions. Do not solve. $$ x 2-2 x-3=0 $$

Does the parabola open upward or downward? Explain. $$ y=x 2-12 x+32 $$

Part A: Quadratic Formula Identify the coefficients \(a, b\), and c used in the quadratic formula. Do not solve. $$3 x_{2}-10=0$$

Complete the square. $$x 2-2 x+?=(x-?) 2$$

Solve by extracting the roots. $$ x_{2}-27=0 $$

Solve by factoring and then solve by extracting roots. Check answers. $$ 4 y 2-9=0 $$

Does the parabola open upward or downward? Explain. $$ y=-2 x_{2}+5 x+12 $$

Part A: Quadratic Formula Identify the coefficients \(a, b\), and c used in the quadratic formula. Do not solve. $$-y_{2}+5=0$$

Solve by factoring and then solve by extracting roots. Check answers. $$ 9 y 2-25=0 $$

Complete the square. $$x_{2}+7 x+?=(x+?) 2$$

Part A: Quadratic Formula Identify the coefficients \(a, b\), and c used in the quadratic formula. Do not solve. $$5 t 2-7 t=0$$

Solve by extracting the roots. $$ 3 y 2-25=0 $$

Complete the square. $$x_{2}+3 x+?=(x+?) 2$$

Part A: Quadratic Formula Identify the coefficients \(a, b\), and c used in the quadratic formula. Do not solve. $$-y 2+y=0$$

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

Solve by factoring and then solve by extracting roots. Check answers. $$ (x+1) 2-4=0 $$

Does the parabola open upward or downward? Explain. $$ y=-3 x+9 x 2 $$

Complete the square. $$x 2+23 x+?=(x+?) 2$$

Solve by extracting the roots. $$ (x-5) 2-9=0 $$

Calculate the discriminant and use it to determine the number and type of solutions. Do not solve. $$ 5 x 2+x=0 $$

Part A: Quadratic Formula Identify the coefficients \(a, b\), and c used in the quadratic formula. Do not solve. $$-2 x_{2}-x=-15$$

Calculate the discriminant and use it to determine the number and type of solutions. Do not solve. $$ 5 x 2-x=0 $$

Part A: Quadratic Formula Identify the coefficients \(a, b\), and c used in the quadratic formula. Do not solve. $$(3 x+1)(2 x+5)=19 x+4$$

Solve by factoring and then solve by extracting roots. Check answers. $$ -3(t-1) 2+12=0 $$

Part A: Quadratic Formula Identify the coefficients \(a, b\), and c used in the quadratic formula. Do not solve. $$(4 x+1)(2 x+1)=16 x+4$$

Solve by extracting the roots. $$ 2(x+3) 2-5=0 $$

Calculate the discriminant and use it to determine the number and type of solutions. Do not solve. $$ 12 x 2-x-12=0 $$

Solve by factoring and then solve by completing the square. Check answers. $$x 2+2 x-8=0$$

Solve by factoring and then solve using the quadratic formula. Check answers. $$x_{2}-10 x+24=0$$

Solve by extracting the roots. $$ (x+3)(x-2)=x+12 $$

Perform the operations. $$ (3+5 i)+(7-4 i) $$

Solve by factoring and then solve by extracting roots. Check answers. $$ (x-5) 2-25=0 $$

Determine the \(x\) - and \(y\) -intercepts. $$ y=-5 x 2-3 x+2 $$

Solve by factoring and then solve using the quadratic formula. Check answers. $$x_{2}-3 x-18=0$$

Solve by extracting the roots. $$ (x+2)(5 x-1)=9 x-1 $$

Perform the operations. $$ (6-7 i)+(-5-2 i) $$

Solve by factoring and then solve by extracting roots. Check answers. $$ (x+2) 2-4=0 $$

Calculate the discriminant and use it to determine the number and type of solutions. Do not solve. $$ -x 2-4 x+2=0 $$

Solve by factoring and then solve using the quadratic formula. Check answers. $$t 2+6 t+5=0$$

Perform the operations. $$ (-8-3 i)+(5+2 i) $$

Calculate the discriminant and use it to determine the number and type of solutions. Do not solve. $$ 4 t 2-20 t+25=0 $$

Solve by factoring and then solve using the quadratic formula. Check answers. $$t 2+9 t+14=0$$

Find a quadratic equation in standard form with the given solutions. $$ \pm 25 \mathrm{~V} $$

Perform the operations. $$ (-10+15 i)+(15-20 i) $$