SOLUTION: please help me.. this is the problem given to us.. we need to have this in quadratic equation.. THE SUM OF THE TWO NUMBERS IS 18 AND THE TOTAL OF THEIR SQUARES IS 170.WHAT ARE T

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: please help me.. this is the problem given to us.. we need to have this in quadratic equation.. THE SUM OF THE TWO NUMBERS IS 18 AND THE TOTAL OF THEIR SQUARES IS 170.WHAT ARE T      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 355717: please help me..
this is the problem given to us..
we need to have this in quadratic equation..
THE SUM OF THE TWO NUMBERS IS 18 AND THE TOTAL OF THEIR SQUARES IS 170.WHAT ARE THE NUMBERS?
THANK YOU.:)
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(13828) About Me  (Show Source):
You can put this solution on YOUR website!
Where exactly are you having difficulty??
It should be pretty straightforward.
Look for numbers that add to 18.
Then square them and add them.
(9,9)->81%2B81=162
(10,8)->100%2B64=164
(11,7)->121%2B49=170

Answer by ewatrrr(10682) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: Take it a step at a time
.
Let n be one of the numbers. Then (18-n) would be the other
.
question states****
n%5E2+%2B+%2818-n%29%5E2+=+170
.
n%5E2+%2B+%2818-n%29%2818-n%29=+170
.
simplify and solve
+n%5E2+%2B+n%5E2+-36n+%2B+324+=+170
.
2n%5E2+-36n+%2B+154+=+0
.
n%5E2+-18n+%2B+77+=+0
.
factoring
(n-11)(n-7) = 0
n = 7 or 11 Numbers are 7 and 11
.
check your answer
49 = 121 = 170