SOLUTION: The product of two consecutive positive even integers is 288 find the integers
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Question 94220: The product of two consecutive positive even integers is 288 find the integers
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The product of two consecutive positive even integers is 288 find the integers
:
The two consecutive integers: x, and (x+2)
:
Their product is 288:
x*(x+2) = 288
:
x^2 + 2x - 288 = 0; our old friend, the quadratic equation
:
Since the two numbers only differ by 2 we know the numbers will be close
to the square root of 288
Sqrt(288) = 17.97
:
AN easy step to see it is 16 & 18
:
The factors then are:
(x+18)(x-16) = 0
x = -18, with -16
and
x = +16, with +18
:
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