Solve each equation'

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Algebra 1 Section 9.2 Pythagorean Theorem and
Solving Quadratic Equations
Solve each equation.
1. x2 9
take square root of both sides
2. 6x2 600
x 3 , -3
x2 100
divide both sides by 6
take square root of both sides
x 10 , -10
3. 3x2 363
x2 121
divide both sides by 3
take square root of both sides
x 11 , -11
4. t2 2 11 -2 -2
t2 9
take square root of both sides
t 3 , -3
3
5.
6.
2s2 5 27
1 1
5 5 2s2 32
s2 16
divide both sides by 2
take square root of both sides
s 4 , - 4
multiply both sides by 2
x2 16
take square root of both sides
x 4 , - 4
4
Solve each equation. Round to the nearest
hundredth.
7. 3x2 2 56 -2 -2
3x2 54 x2 18
divide by 3 x 4.24 , -
4.24

• 2x2 5 7
• 5 5
• 2x2 12
• x2 6 divide by 2
• x 2.45 , -2.45

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9.
-3 -3
x2 10 multiply by 2
x 3.16 , -3.16
10. 6s2 2 0 2 2
6s2 2
take square root of both sides
s .58 , -.58
6
The surface area of a cube is 150 ft2. Find the
length of each edge.
6 faces on a cube / all with same area
x
6x2 150 x2 25 x 5
x
x
7
c (hypotenuse)
a
Pythagorean Theorem
a2 b2 c2 the sum of the squares of the
legs is equal to
the square of the hypotenuse
hypotenuse is always across from the right
angle
b
Find the missing side
a2 b2 c2 42 32 c2 16 9 c2 25
c2 c 5
4
3
8
Find the missing side.
a2 b2 c2 52 b2 132 25 b2 169 -25
-25 b2 144 b 12
5
13
a2 b2 c2 142 b2 212 196 b2 441 -196
-196 b2 245 b
15.65
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