MartianManiac MartianManiac

19-11-2016
Mathematics

Answered

a^{2} + 36 = 13a
can this be factored
if so please show me how
thank you

Verified Answer :

charstar charstar

19-11-2016

a^2-13a+36=0
First we need to find 2 numbers that add to make 13 and multiply to make 36: factor pairs of 36 are: 1,36 2,18 3,12, 4,9 6,6
4 and 9 add to make 13 so those are the numbers we'll use:
(a-4)(a-9)=0
Now we check:
aa+a-9-4a-4-9=0
a^2-9a-4a+36=0
a^2-13a+36
Add 13a to both sides:
a^2+36=13a
So it works and the final answer is:
(a-4)(a-9)=0

Hope this helps :)

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