I.
a. x² + x = 6
x² + x - 6 = 0
x² + x - 6 = 0a = 1, b = 1, c = -6
b. 3x² = 4 - 2x
3x² + 2x - 4 = 0
3x² + 2x - 4 = 0a = 3, b = 2, c = -4
c.) 2x² = 18
2x² - 18 = 0
2x² - 18 = 0a = 2, b = 0, c = -18
II.
a.) x² = 36
√x² = √36
x = 6
b.) 5x² - 125 = 0
5x² = 125
5x²/5 = 125/5
x² = 25
√x² = √25
x = 5
III.
a.) x² + 3x = 0
x(x + 3)
b.) x² + x = 12
x² + x - 12
(x + 4)(x - 3)
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Answers & Comments
I.
a. x² + x = 6
x² + x - 6 = 0
x² + x - 6 = 0a = 1, b = 1, c = -6
b. 3x² = 4 - 2x
3x² + 2x - 4 = 0
3x² + 2x - 4 = 0a = 3, b = 2, c = -4
c.) 2x² = 18
2x² - 18 = 0
2x² - 18 = 0a = 2, b = 0, c = -18
II.
a.) x² = 36
√x² = √36
x = 6
b.) 5x² - 125 = 0
5x² = 125
5x²/5 = 125/5
x² = 25
√x² = √25
x = 5
III.
a.) x² + 3x = 0
x(x + 3)
b.) x² + x = 12
x² + x - 12
(x + 4)(x - 3)