Name _______________________
A Quadratic Equation is an equation with a degree of two. A quadratic equation has the standard form: ax
2  bx
 
0
Methods To Solve Quadratic Equations
1. Factoring – if possible
1.
Square Root Method – when there is an x
2
term and a constant, but no x term
2.
Completing the Square – creating a perfect square trinomial, factoring, then square root
3.
Quadratic Formula – when none of the other methods work, but can be used for any quadratic equation; x

  b
2 
4 ac
2 a
**Make sure your solutions use the correct notation of ±! And that all solutions are simplified completely! (No negative radicands!)
Solving a quadratic equation could also be referred to as determining the
roots or zeros of the function.
Solve each quadratic equation:
1.
x
2 
8 x

15

0
3.
y
2 
10
 
6
4.
y
2 
10 y

25

81
2.
x 2 
144

0

5.
2 a
2 -
12 a
+
18
=
14
8.
t
2
– 6 t + 10 = 0
9.
6 y = -3 y
2
– 4
6.
x
2
= 14 x – 24
7.
4 x
2
– 4 x = -7