SOLUTION: the sum of an integer and its square is 6 less than the square of the next greater integer. what is the value of the integer?
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Question 17455: the sum of an integer and its square is 6 less than the square of the next greater integer. what is the value of the integer?
Answer by bam878s(77) (Show Source): You can put this solution on YOUR website!
Let x be the integer
then:
x + =
so
x + = (if we multiply out )
x + =
subtract from both sides
x = 2x - 5
add 5 to both sides
x + 5 = 2x
now subtract x from both sides
5 = x
check
= 30
= 36 - 6 = 30
hope this helps
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