The difference between two numbers is 6 and their product is 18, what are the two numbers?

Question

The difference between two numbers is 6. Their product is 18. What are the two numbers?

Answer 1

2*8=16 & 3*9=27, so anser gotta be tween 2 & 3

tri 2.1961524*8.1961524...

me kalkulater sae it be 17.9999997640257

Answer 2

Let two numbers are a and b
a-b=6.......(1)
and ab=18.....(2)
from equation (1)
a=6+b

Substitute in equation (2)
(6+b)b=18
b^2+6b=18
b=-3(1+√3)
b=3(√3-1)

Then solve for a
a=-3(√3-1)
a=3(1+√3)

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Answer 3

Let unknown 2 numbers be x and y (x>y).   This problem can be written as follows:

x=y+6 ··· (1), and xy=18 ··· (2)   Plug (1) into (2), getting

(y+6)y=18   Put the equation into quadratic standard form, getting

y²+6y-18=0   Using quadratic formula, solve the equation for y.   We have:

y=(-6±√(36+72))/2=(-6±6√3)/2=-3±3√3   Plug the values of y into (1).   We have:

x=(-3±3√3)+6=3±3√3

Therefore, the answer is: { x=3+3√3, y=-3+3√3 }, or { x=3-3√3, y=-3-3√3 }

Answer 4

The answer is 3 and 2