SOLUTION: the sum of two numbers is 25 and their product is 144. what are the numbers?

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Question 750278: the sum of two numbers is 25 and their product is 144. what are the numbers?
Found 2 solutions by tommyt3rd, FrankM:
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
This time we solve by looking at the factors of 144.

144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18...
but we already found them 9 and 16


:)

Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=25
X*Y=144
from first equation, Y=25-X so
X(25-X)=144
25X-X^2=144
X^2-25X+144=0
Quadratic equation x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%2825+%2B-+sqrt%28+25%5E2-4%2A1%2A144+%29%29%2F%282%29+


x+=+%2825+%2B-+sqrt%2849%29%29%2F%282%29+

= (25+7)/2 or (25-7)/2
16 and 9 are the two numbers.