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X^2+12=40 what number must you add to complete the square?

User Sysanin
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1 Answer

6 votes

Answer:

Explanation:

1) If you really meant X^2+12=40, then this simplifies to x^2 = 28, and therefore x = ±√28, or x = ±2√7.

2) If you meant X^2+12x=40:

a) Take half of the coefficient of x: that would be (1/2)(12), or 6.

b) Square this result, obtaining: 6² = 36

c) Add this 36 to x^2 + 12x + 40, and then subtract it: We get:

x² + 12x + 36 - 36 = 40, or x² + 12x + 36 = 76

We have to add 36, as indicated above, to "complete the square."

User Philip Yoo
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