the difference of two number is 3 and their product is 28 what are the two number
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Answered by
56
Answer:
Your answer is in attachment...
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Answered by
32
Answer:
7,4
Step-by-step explanation:
Let the numbers be x & y
x-y = 3
xy = 28
(x-y)^2 = x^2+y^2 -2xy
x^2+y^2 = (x-y)^2+ 2xy
= (3)^2 + 2*28
= 9 + 56 = 65
(x+y)^2 = x^2+y^2 +2xy
= 65+56 = 121
x+y = 11
(x-y)^2 = x^2+y^2 -2xy
= 65-56 = 9
(x-y)= 3
Adding equations in bold :
2x = 14
x = 7
y = 7-3 = 4
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