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Find a and b if a^2 - b^2 = 704 and a + b = 44.

 Oct 16, 2020
 #1
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Use substitution to find the values of "a" and "b":

 

a = 30   and   b= 14

 

30^2  -  14^2 =704    and    30  +  14 =44

 
 Oct 16, 2020
 #2
avatar+2453 
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The first step to solving it:

 

\(a^2+b^2=1936\)

So we get:

\(a^2-b^2=704\)

\(a^2+b^2=1936\)

Now we can eliminate a or b :)

 
 Oct 16, 2020

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