Chapter 9

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

Solve by completing the square. $$x_{2}+3.3 x-1.2775=0$$

Use the quadratic formula to solve the following. $$-3 y_{2}+7 y=0$$

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

Choose the appropriate method to solve the following. $$ 5 t(5 t-6)=-9 $$

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

Use the discriminant to determine the number and type of solutions. $$ 4 x 2-4 x+1=0 $$

Solve by extracting the roots and then solve by using the quadratic formula. Check answer. $$ 4 t 2+25=0 $$

Choose the appropriate method to solve the following. $$ (x+1)(x+7)=3 $$

Solve by completing the square. $$2 x_{2}-4 x-3=0$$

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

Use the discriminant to determine the number and type of solutions. $$ 9 x 2-4=0 $$

Solve by extracting the roots and then solve by using the quadratic formula. Check answer. $$ 9 t 2+4=0 $$

Solve by extracting the roots. $$ (2 y+1) 2-25=0 $$

Use the quadratic formula to solve the following. $$x_{2}-0.6 x-0.27=0$$

Solve using any method. $$ x 2+4 x-60=0 $$

Solve by extracting the roots and then solve by using the quadratic formula. Check answer. $$ 4 y 2+3=0 $$

A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is \(49 .\) Find the numbers.

Determine the maximum or minimum \(y\) -value. $$ y=-x 2-6 x+1 $$

Solve by completing the square. $$5 x 2+10 x+2=0$$

Use the quadratic formula to solve the following. $$x_{2}-1.6 x-0.8=0$$

Solve using any method. $$ 9 x 2+7 x=0 $$

A positive real number is 1 more than another. When twice the smaller is subtracted from the square of the larger, the result is \(4 .\) Find the numbers.

Determine the maximum or minimum \(y\) -value. $$ y=-x 2-4 x+8 $$

Use the quadratic formula to solve the following. $$y_{2}-1.4 y-0.15=0$$

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

Solve by extracting the roots. $$ (3 t+2) 2-6=0 $$

A positive real number is 6 less than another. If the sum of the squares of the two numbers is 38 , then find the numbers.

Solve by completing the square. $$5 x_{2}+2 x-5=0$$

Use the quadratic formula to solve the following. $$y 2-3.6 y+2.03=0$$

A positive real number is 1 more than twice another. If 4 times the smaller number is subtracted from the square of the larger, then the result is 21 . Find the numbers. Geometry Problems Round off your answers to the nearest hundredth.

Solve by completing the square. $$4 x_{2}-12 x-15=0$$

Solve using any method. $$ x 2-x-3=0 $$

The area of a rectangle is 60 square inches. If the length is 3 times the width, then find the dimensions of the rectangle.

Solve by completing the square. $$2 x_{2}+4 x-43=0$$

Use the quadratic formula to solve the following. $$-t 2+3 t-34=0$$

Solve using any method. $$ 9 x 2+12 x+1=0 $$

Solve by extracting the roots and then solve by using the quadratic formula. Check answer. $$ (x+3) 2+9=0 $$

The area of a rectangle is 6 square feet. If the length is 2 feet more than the width, then find the dimensions of the rectangle.

Solve using any method. $$ 4(x-1) 2-27=0 $$

Use the quadratic formula to solve the following. $$3 y 2+12 y-13=0$$

Solve using the quadratic formula. $$ x 2-2 x+10=0 $$

The area of a rectangle is 27 square meters. If the length is 6 meters less than 3 times the width, then find the dimensions of the rectangle.

Use the quadratic formula to solve the following. $-2 y_{2}+13 y+12=0$$

Solve using any method. $$ (3 x+5) 2-4=0 $$

Solve using the quadratic formula. $$ x_{2}-4 x+13=0 $$

The area of a triangle is 48 square inches. If the base is 2 times the height, then find the length of the base.

Use the quadratic formula to solve the following. $$2 x 2-10 x+3=4$$

Solve using any method. $$ (x-2)(x+3)=6 $$

Solve using the quadratic formula. $$ x 2+4 x+6=0 $$