<PRE><B>Question 750278</B>
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 = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}


{{{x = (25 +- sqrt( 25^2-4*1*144 ))/(2) }}}



{{{x = (25 +- sqrt(49))/(2) }}}


= (25+7)/2   or  (25-7)/2

16 and 9 are the two numbers.

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