Quadratic Formula Worksheet Solutions for Math 154B, Study notes of Mathematics

The solutions to the quadratic equations given in a worksheet for math 154b. Students are expected to use the quadratic formula to find the roots of each equation. The coefficients of the quadratic equations and their corresponding solutions.

Typology: Study notes

2021/2022

Uploaded on 08/01/2022

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Math 154B Name_____________________
Solving Using the Quadratic Formula Worksheet
The Quadratic Formula: For quadratic equations:
0
2cbxax
,
a
acbb
x2
4
2
Solve each equation using the Quadratic Formula.
1.
0201142xx
2.
0245
2xx
3.
33
2xx
4.
xx 55
2
5.
1
2xx
6.
7.
01574 2xx
8.
0103
2xx
pf2

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Math 154B Name_____________________

Solving Using the Quadratic Formula Worksheet

The Quadratic Formula: For quadratic equations: 0

2 ax bx c ,

a

b b ac x 2

2

Solve each equation using the Quadratic Formula.

  1. 4 11 20 0

2 x x 2. 5 24 0

2 x x

2 x x 4. x 5 5 x

2

2 x x 6. 4 x 1 8 x

2

2

x x 8. x^2 3 x 10 0

2

x x 10. 2 x 23 14 x

2

11.^248

2

x x 12.^2 x^^^3918 x

2

2

x x 14. 5 50 125

2

x x

Answers:

1. ,^4

x x

  1. x 8 , x 3

x

x

x

x

7. ,^3

x x

  1. x 2 , x 5

x

x

11. x 8 , x 6

x

  1. x = not a real number
    1. x 5