SOLUTION: I need help with this problem applications of quadratic equation find two numbers whose sum is 7 and whose product is 10.

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Question 59442: I need help with this problem
applications of quadratic equation
find two numbers whose sum is 7 and whose product is 10.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=7
X*Y=10 THEN
X=7-Y AND SUBSTITUTING (7-Y)FOR X IN THE EQUATION 2
WE GET
(Y-7)Y=10
Y^2-7Y=10
Y^2-7Y-10=0
(Y-5)(Y-2)=0
Y-5=0
Y=5 SOLUTION
Y-2=0
Y=2 SOLUTION
PROOF
5+2=7
7=7
2*5=10
10=10