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Section 7.2 – The Quadratic Formula
The solutions to are
The Quadratic Formula
02 cbxax
a
acbbx
2
42
http://www.youtube.com/watch?v=bSQ7nxjmXXg
p. 570Solve each equation using the quadratic formula.
The Quadratic Formula
0210 .24 2 xx
20
)20(411 x
a
acbbx
2
42
20
8011 x
20
811x
20
91x
20
9
20
1
x
5
220
820
9
20
1
x
x
x
5
2,
2
1 2
120
1020
9
20
1
x
x
x
The Quadratic Formula
0142 .26 2 qq
4
)2(4164 q a
acbbx
2
42
4
8164 q
4
84 q 4
224 q
4
244 q
2
21,
2
21
4
22
4
4q 2
21q
The Quadratic Formula
135 .30 2 ww
10
)5(493 w
a
acbbx
2
42
10
2093 w
10
293w
10
29
10
3
w
0135 2 ww
10
29
10
3,
10
29
10
3
The Quadratic Formula
mm
545 .60
10
)25(4164 m
a
acbbx
2
42
10
100164 m
10
1164 m
10
292
10
4m
5
29
5
2m
0545
5452
2
mm
mm10
2944 m
10
2924 m
10
29
5
2,
10
29
5
2
Pythagorean Theorem
p. 57282. Use the Pythagorean Theorem to determine the value of x and the measurements of each side of the right triangle.
x
x + 7
2x + 3
222 cba 222 )32()7( xxx
91244914 222 xxxxx
4 5 xx
5x
5
912449142 22 xxxx
4914291240 22 xxxx
04022 2 xx
4
)80(442 x
4
3242 x
4
182 x
4
16
4
20 xx
12
13
Area of A Triangle
88. Area The area of a triangle is 35 square inches. The height of the triangle is 2 inches less than the base. What are the base and height of the triangle?
height
base
bhA2
1
)2(2
135 bb
426.9711 b
b-2
bb 2
2
135
bb 270 2
2
)70(442 b
2
28042 b
b
07022 bb
2
2842 b
2
7142 b
2
7122 b
2
7112 b
711b
711
711
