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Completing the Square
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Factor. y=x^2-20x+100
y=(x-10)^2
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Complete the square and solve to find the zeros. 0=x^2 + 10x
zeros at x=0 and x= -10
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Complete the square and solve to find zeros. 2= x^2 + x
solutions are x= -2 and x= 1
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The rule of completing the square is doing what to coefficient of x?
(b/2)²
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Factor. y=x^2+2x+1
y=(x+1)^2
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Complete the square by adding zero pairs, then factor. y=x^2 + 2x
y=(x+1)^2 - 1
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Complete the square and solve to find zeros. 4=x^2 - 14x
solutions are x= -√53 + 7 and x= √53 + 7
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What factor should you add to the expression to complete the square? x^2 - 30x
225
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What factor should you add to the expression to complete the square? x^2 + 3x
2.25
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Complete the square by adding zero pairs, then factor. y=x^2 + x
y=(x+0.5)^2 - 0.25
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Factor. y=x^2 - 14x + 49
y=(x-7)^2
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Complete the square and solve to find the zeros. 0=x^2 + 4x
zeros at x= -4 and x=0
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What is a real life application of completing the square
Expanding or minimizing spaces of lands / Answers may vary
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Area of rectangle = 50 / Length is (x+1) / Width is (x), Find the value of x
x = -5 + 5√3
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Complete the square by adding zero pairs, then factor. y=x^2+6x
y=(x+3)^2 - 9
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Complete the square and solve to find the zeros. y=x^2-12x
zeros at x=0 and x=12
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Complete the square by adding zero pairs, then factor. y=x^2-5x
y=(x-2.5)^2-6.25
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What are the solutions of x² + 10x + 8 = 5 ?
x1 = -5 + 2√3 // x2 = -5 - 2√3
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Complete the square and solve to find zeros. -2=x^2 + 10x
solutions are x= -√23-5 and x= √23 -5
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