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What number would be added to both sides in order to complete the square when solving x^2+8x=9? A.16 B.18 C.64 D.81
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What number would be added to both sides in order to complete the square when solving x^2+8x=9? A.16 B.18 C.64 D.81
asked
Mar 24, 2018
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What number would be added to both sides in order to complete the square when solving x^2+8x=9?
A.16
B.18
C.64
D.81
Mathematics
high-school
Jschr
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Jschr
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A. 16
1/2(MT)^2
1/2(8)^2
=4^2
=16
Jimmymcnulty
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Mar 26, 2018
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Jimmymcnulty
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You can figure this out if you just look at (x+a)^2 = x^2 + 2ax + a^2. See, the constant term, a^2, is the coefficient of x (2a), divided by 2 (2a/2=a), and then squared (a^2)
So you equation has 8x. 8/2 = 4, and 4^2 = 16.
So the answer is A.
Robert Stiffler
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Mar 30, 2018
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Robert Stiffler
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