SOLUTION: Im not sure how to set up this problem, " Find two consecutive positive even intergers such that the square of the smaller is 4 more than 4 times the larger."
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Question 664700: Im not sure how to set up this problem, " Find two consecutive positive even intergers such that the square of the smaller is 4 more than 4 times the larger." Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Find two consecutive positive even integers such that the square of the smaller is 4 more than 4 times the larger."
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Two consecutive even integers: x, (x+2)
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The equation for what it says, the word "is" usually means "="
x^2 = 4(x+2) + 4
x^2 = 4x + 8 + 4
x^2 = 4x + 12
Arrange as a quadratic equation
x^2 - 4x - 12 = 0
Factors to
(x-6)(x+2) = 0
Only the positive integer is required
x = 6, and 8 are the two integers
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See if that works
6^2 = 4(8) + 4
36 = 32 + 4; confirms our solution
