SOLUTION: The Difference between two numbers is 3.If the Square of the smaller number is equal to 4 times larger number,find the numbers

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Question 972765: The Difference between two numbers is 3.If the Square of the smaller number is equal to 4 times larger number,find the numbers

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
x=larger number; y=smaller number
x-y=3
x=3%2By Use this to substitute for x.
.
y%5E2=4x Substitute for x.
y%5E2=4%283%2By%29
y%5E2=12%2B4y
y%5E2-4y-12=0
%28y-6%29%28y%2B2%29=0
y-6-0 or y%2B2=0
y=6 or y=-2
x=3%2By
x=3%2B6 or x=3%2B%28-2%29
x=9 or x=1
ANSWER: The larger number is 9 and the smaller is 6 or the larger is 1 and the smaller is -2.