The product of two numbers is 110 and the difference between the two numbers is 1. Find out the numbers..
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Numbers are ( 11 , 10) , (-10 , -11)
Step-by-step explanation:
The product of two numbers is 110 and the difference between the two numbers is 1. Find out the numbers..
Let say two numbers are X & Y
XY = 110
X - Y = 1
X = Y + 1
(Y + 1)Y = 110
=> Y² + Y = 110
=> Y² + Y - 110 = 0
=> Y² + 11Y - 10Y - 110 = 0
=> Y (Y +11) - 10(Y + 11) = 0
=> (Y - 10) (Y + 11) = 0
=> Y = 10 & Y = -11
X = 11 & X = -10
Numbers are ( 11 , 10) , (-10 , -11)
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