SOLUTION: The product of two consecutive numbers is 930.Find the numbers

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Question 954690: The product of two consecutive numbers is 930.Find the numbers
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Let's call one of the numbers x. Since the numbers are consecutive, the next number has to be one more, so we'll call it x%2B1.
The product of these numbers is x%28x%2B1%29.
given: the product of two consecutive numbers is 930
so, we have x%28x%2B1%29=930..........solve for x
x%28x%2B1%29=930
x%5E2%2Bx=930
x%5E2%2Bx-930=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-1+%2B-+sqrt%281%5E2-4%2A1%2A%28-930%29+%29%29%2F%282%2A1%29+
x+=+%28-1+%2B-+sqrt%281%2B3720+%29%29%2F2+
x+=+%28-1+%2B-+sqrt%283721+%29%29%2F2+
x+=+%28-1+%2B-+61%29%2F2+
solutions:
x+=+%28-1+%2B+61%29%2F2+
x+=++60%2F2+
highlight%28x+=+30%29+-> first number
x+=+%28-1+-61%29%2F2+
x+=++-62%2F2+
highlight%28x+=+-31%29+-> second number
then first consecutive number is highlight%28x%2B1+=+31%29+ and
second consecutive number is highlight%28x%2B1+=+-30%29+
so, you have two pairs of consecutive numbers that have a product 930 and they are:
1.highlight%28+30%29+ and highlight%2831%29+
2.highlight%28-31%29+ and highlight%28-30%29+



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The product of two consecutive numbers is 930.Find the numbers
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sqrt%28930%29 =~ 30.5
--> 30 & 31