SOLUTION: The product of 2 consecutive integers x and y is 90. Find the two integers. (Assume x < y.) (x, y ) = ( __ , __ ) (smaller value) (x, y) = ( __ , __ ) ( larger value) I am u

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Question 589082: The product of 2 consecutive integers x and y is 90. Find the two integers. (Assume x < y.)
(x, y ) = ( __ , __ ) (smaller value)
(x, y) = ( __ , __ ) ( larger value)
I am unable to figure out the answer. Please help.
Thank you

Answer by John10(297)   (Show Source): You can put this solution on YOUR website!
We know that x and y are consecutive numbers. Suppose y is greater than x then y = x +1
Their product is 90. so x(x + 1) = 90
OR x^2 + x = 90
x^2 + x - 90 = 0
Solve the quadratic equation, you will find two values of x. From those two values of x, find two values of y by using equation y = x + 1.
Hope it helps:)
John10

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