Algebra 2/trigonometry 1 Quadratic Equations Worksheet Page 14
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185.6 Solving Quadratic Equations by Quadratic Formula (w/ graphing calculator to check)
(R,E/2)
2
−��± √ ��
−4����
�� =
Quadratic Formula:
2��
2
+ ���� + �� = 0)
Steps:
(1)
Put the quadratic equation in standard form (����
(2)
Determine the values for a, b, and c
(3)
Plug the values into the formula
(4)
Simplify as much as possible
Things to know:
________________ the part that is UNDER the radical is called the discriminant. It can help you
determine how many solutions and the type of solutions:
If _____________, then the equation has 2 real solutions.
If ______________, then the equation has 1 real solution.
If ______________, then the equation has 2 imaginary solutions.
Directions: (a) Find the discriminant of the quadratic equation. (b) Give the number and types of
solutions of the equation
2
2
9��
+ 6�� + 1 = 0
9��
+ 6�� − 4 = 0
E1.
P1.
2
2
9��
+ 6�� = −5
5��
+ 3�� = −1
E2.
P2.
Directions: Solve each quadratic equation using the quadratic formula.
2
2
3��
+ 8�� = 35
��
− 16�� = 64
E3.
P3.
2
2
2
2��
+ �� = ��
− 2�� + 4
12�� − 5 = 2��
+ 13
E4.
P4.
14 |
P a g e
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