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If using the method of completing the square to solve the quadratic equation x²– 20x + 24 = 0, which number would have to be added to "complete the square"?

If using the method of completing the square to solve the quadratic equation x²– 20x + 24 = 0, which number would have to be added to "complete the square"?
asked 232k views
23 votes
If using the method of completing the square to solve the quadratic equation

x²– 20x + 24 = 0, which number would have to be added to "complete the
square"?

asked
User Edgar
by
7.7k points

1 Answer

9 votes
x²-20x + 24 = 0

x²-20x = 24

x²-20x + 100 = 24 + 100

(x-10)² = 76

x = -2 √(19) + 10
x = 2 √(19) + 10
answered
User Amine LAHRIM
by
8.5k points
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