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Factoring Quadratics & Quadratic Applications
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The length of a rectangle is 8 more than the width. If the area of the rectangle is 20, find the dimensions of the rectangle.
x=2 and x=10
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Solve: x² -4x= 45
x = 9, x = -5
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A positive number squared decreased by three times the number is 18. Find the number.
x=6
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Solve: 7x² +35x = 0
x = 0, x = -5
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A positive number is added to its square and the result is 20. Find the number.
x=4
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Solve: x² -6x -27 = 0
x = 9, x =-3
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Solve: x² − 16x + 63 = 0
x = 7, x = 9
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Solve: x² − 7x − 18 = 0
x= 9, x = -2
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Solve: x² = 144
x = 12, x = -12
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Solve: x² - 81 = 0
x = 9, x = -9
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The length of a rectangle is 2 less than the width. If the area of the rectangle is 48, find the dimensions of the rectangle.
x= 8 and x = 6
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Solve: 3x² +6x =0
x = 0, x= -2
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When a positive number is subtracted from its square the result is 42. Find the number.
x = 7
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Solve: c² - 121 = 0
c = 11, c = -11
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Solve: a²- 2a =35
a = 7, a = -5
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Solve: p² − 5 p − 14= 0
x= 7, x = -2
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Solve: b² + 11b +18 = 0
b = -2, b = -9
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Solve: x²- x - 2= 0
x = -1, x = 2
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