Quadratic Equations and Functions

Intermediate Algebra ยท 652 exercises

Q. 326

In the following exercises, rewrite each function in the f(x)=a(x-h)2+k form by completing the square.

f(x)=2x2-12x+7

2 step solution

Q. 534

Use the discriminant to determine the number and type of solutions of each quadratic equation.

6p2-13p+7=0

2 step solution

Q 9.1.

Solve x2-48=0

4 step solution

Q. 9.2

Solve y2-27=0

4 step solution

Q. 9.3

Solve 2x2=98

3 step solution

Q. 9.4

Solve 5m2=80

3 step solution

Q. 9.5

Solve c2+12=0

3 step solution

Q. 9.6

Solve q2+24=0

3 step solution

Q. 9.7

Solve 12x2+4=24

3 step solution

Q. 9.8

Solve 34y2-3=18

3 step solution

Q. 9.9

Solve 5r2-2=34

3 step solution

Q. 9.10

Solve 3t2+6=70

3 step solution

Q.9.11

Solve 3(a-3)2=54

3 step solution

Q.9.13

Solve x-122=54

3 step solution

Q.9.14

Solve y+342=716

3 step solution

Q.9.15

Solve 5(a-5)2+4=104

3 step solution

Q.9.17

Solve (3r+4)2=-8

2 step solution

Q.9.18

Solve (2t-8)2=-10

2 step solution

Q.9.19

Solve 9m2-12m+4=25

2 step solution

Q.9.20

Solve 16n2+40n+25=4

2 step solution

Q. 1

Solve Quadratic Equations of the Form ax2=kUsing the Square Root Property.

In the following exercises, solve each equation a2=49

2 step solution

Q.2

Solve Quadratic Equations of the Form ax2=kUsing the Square Root Property.

In the following exercises, solve each equation b2=144

2 step solution

Q. 3

Solve Quadratic Equations of the Form ax2=k Using the Square Root Property.

In the following exercises, solve each equation  r2-24=0

3 step solution

Q. 4

Solve Quadratic Equations of the Form ax2=kUsing the Square Root Property.

In the following exercises, solve each equation t2-75=0

3 step solution

Q.5

Solve Quadratic Equations of the Form ax2=kUsing the Square Root Property.

In the following exercises, solve each equation u2-300=0

3 step solution

Q.6

Solve Quadratic Equations of the Form ax2=kUsing the Square Root Property.

In the following exercises, solve each equation v2-80=0

3 step solution

Q.7

Solve Quadratic Equations of the Form ax2=kUsing the Square Root Property.

In the following exercises, solve each equation 4m2=36

3 step solution

Q.8

Solve Quadratic Equations of the Form ax2=k

Using the Square Root Property.

In the following exercises, solve each equation 3n2=48

3 step solution

Q.9

Solve Quadratic Equations of the Form ax2=kUsing the Square Root Property.

In the following exercises, solve each equation 43x2=48

3 step solution

Q.10

Solve Quadratic Equations of the Form  ax2=kUsing the Square Root Property.

In the following exercises, solve each equation 53y2=60.

3 step solution

Q. 11

In the following exercises, solve each equation.

x2+25=0

4 step solution

Q. 12

In the following exercises, solve each equation.

y2+64=0

4 step solution

Q. 13

In the following exercises, solve each equation.

x2+63=0

4 step solution

Q. 14

In the following exercises, solve each equation.

y2+45=0

4 step solution

Q. 15

In the following exercises, solve each equation.

43x2+2=110

4 step solution

Q. 16

In the following exercises, solve each equation.

23y28=2

4 step solution

Q. 17

In the following exercises, solve each equation.

25a2+3=11

4 step solution

Q. 18

In the following exercises, solve each equation.

32b27=41

4 step solution

Q. 19

In the following exercises, solve each equation.

7p2+10=26

4 step solution

Q. 20

In the following exercises, solve each equation.

2q2+5=30

4 step solution

Q. 21

In the following exercises, solve each equation.

5y27=25

4 step solution

Q. 22

In the following exercises, solve each equation.

3x28=46

4 step solution

Q. 23

In the following exercises, solve each equation.

(u6)2=64

4 step solution

Q. 24

In the following exercises, solve each equation.

(v+10)2=121

4 step solution

Q. 25

In the following exercises, solve each equation.

(m6)2=20

4 step solution

Q. 26

In the following exercises, solve each equation.

(n+5)2=32

4 step solution

Q. 27

In the following exercises, solve each equation.

r122=34

4 step solution

Q. 28

In the following exercises, solve each equation.

x+152=725

4 step solution

Q. 29

In the following exercises, solve each equation.

y+232=881

4 step solution

Q. 30

In the following exercises, solve each equation.

t562=1125

4 step solution

Show/ page