SOLUTION: the difference between two numbers is 3.if the square of the smaller number is equal to 4 times the larger number, find the numbers.

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Question 368339: the difference between two numbers is 3.if the square of the smaller number is equal to 4 times the larger number, find the numbers.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x represent the larger number.  Then (x-3) would be the smaller.

(x-3)^2 = 4x

x^2 - 6x + 9 = 4x

x^2 -10x + 9 = 0

factoring

(x-9)(x-1) = 0

(x-9)= 0

x = 9

(x-1) = 0

x = 1

Numbers would be 9 and 6 'Or' 1 nd -2

checking our answers

6^2 = 4*9 = 36

(-2)^2 = 4*1 = 4