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algebra help
Recently, I was taught factoring and now I am applying it to word problems. I don't get what to do, why to do it, or how to get the right answer. Can someone help?
A problem that really stumps me is:
*The sum of two numbers is 25 and the sum of their squares is 313. Find the numbers.
I got the equation x²+(25-x)²=313.
Is that correct? If it is, what is the next step? I don't know how to set it to zero, factor it, and then arrive at the correct answer in the {_,_} format.
Please help me with tips, notes, a step-by step procedure on what to do, anything that will help. I will rate back! Thank you so much! (:
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x+y=25
x^2+y^2=313
x+ y = 25
-y -y
x=25-y
(25-y)^2+y^2=313
(25-y)(25-y)+y^2=313
FOIL that..
solve for y
use the y value to find x by substituting it in to one of the original equations i gave you at the top.
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