Completeing the Square a^2 - 5a + 3 = 0

npaggs

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Mar 13, 2008
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Bah I know it's simple stuff, but stuck on something.

My work:

a^2 - 5a + 3 = 0
translate 3 over

a^2 - 5a = -3

Divide b and square

a^2 - 5a + 25/4 = 13/4

But is the left side a perfect square?
 
npaggs said:
Bah I know it's simple stuff, but stuck on something.

My work:

a^2 - 5a + 3 = 0
translate 3 over

a^2 - 5a = -3

Divide b and square

a^2 - 5a + 25/4 = 13/4

But is the left side a perfect square?

Yes... You made it so...

a^2 - 5a + 25/4

= a^2 - 2 * 5/2 * a + (5/2)^2

= (a - 5/2)^2
 
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