Completing the Square and Solving Quadratic Equations

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Answer: Correct! Go to question 2. Incorrect. The answer is:

y=4x²−20x+24y equals 4 x squared minus 20 x plus 24

Group the x terms:
y=(4x²−20x)+24y equals parenthesis 4 x squared minus 20 x parenthesis plus 24

Factor out the coefficient on x²:
y=4(1x²−5x)+24y equals 4 times the quantity 1 x squared minus 5 x plus 24

Complete the square:
y=4(1x²−5x+6.25)+24−25y equals 4 times the quantity 1 x squared minus 5 x plus 6 and 25 hundredths plus 24 minus 25
[using fraction: y=4(1x²−5x+25 4 )+24−25]y equals 4 times the quantity 1 x squared minus 5 x plus twenty-five fourths plus 24 minus 25

Factor:
y=4(1x−2.5)²−1y equals 4 times the quantity 1 x minus 2 and 5 tenths squared minus 1
[using fraction: y=4(1x−52)²−1]y equals 4 times the quantity 1 x minus five halves squared minus 1

Go to question 2. Incorrect. Try again.
•Remember to take half of the coefficient of x and then square it.
•Be sure to keep the equality by taking the product of the coefficient of x² that was factored out times the value added in the parentheses, and then subtracting this product.