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Algebra: Solve 10 equations

Page 313

Solve each equation.

# 8 ( a + 6 )( a + 5 ) = 0

# 9 ( 2x + 5 )9 3x - 4 ) = 0

# 12. t^2 + 6t - 27 = 0

# 48 - 2x^2 - 2x + 24 = 0

# 49 11
Z^2 + ---z = -6
2

# 52 3x (2x + 1 ) = 18

Page 364

Solve each equation. Watch for extraneous solution.

# 29 5 2 x - 1
-------- + ----- = --------
X + 2 x - 3 x - 3

# 30 6 7 y = 1
-------- + ----- = ---------
Y - 2 y - 8 y - 8

Solve each equation.

# 37 w 3w
-- = ---
6 11

# 39 5 x
--- = ---
X 5

Solution Preview

Please see word document below.

I suspect two of the problems were wrongly transcribed as the answers are not consistent

Need help with Algebra
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Page 313

Solve each equation.

# 8 ( a + 6 )( a + 5 ) = 0

Then a + 6 = 0 or a + 5 = 0

i.e. a + 6 - 6 = 0 -6 (subtracting 6 from both sides)

a = -6

or a + 5 - 5 = 0 - 5 (subtracting 5 from both sides)

a = -5

Therefore a = -6 or -5

# 9 ( 2x + 5 ) ( 3x - 4 ) = 0

Then 2x + 5 = 0 or 3x - 4 = 0

i.e. 2x + 5 - 5 = 0 - 5 (subtracting 5 from both sides)

2x = -5 or x = ...

Solution Summary

The solution solves the problem with some explanation.

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