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