Sum of two numbers is 15 and product is 56 then find the numbers.
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Step-by-step explanation:
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Answer:
numbers are 7 and 8
Step-by-step explanation:
let x&y be the two number
x+y = 15
x = 15-y.........1
xy = 56
(15-y) (y) = 56
15y-y² = 56
=> y² - 15y + 56 = 0
=> y² - (8+7)y+56=0
=> y² - 8x -7y + 56 = 0
=> y(y-8) -7(y-8) = 0
=> (y-8)(y-7) = 0
either (y-8)=0 .....or...... (y-7) = 0
either y = 8 ........or........ y = 7
x = 15-y
when y = 8 , x = 7
when y = 7 , x = 8
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