Give two decimals whose product is 18.354 and whose difference is o.17.

Give two decimals whose product is 18.354 and whose difference is o.17?
Give two decimals whose product is 18.354 and whose difference is o.17.

y = x + 0.17
x * y = 18.345
x * (x + 0.17) = 18.345

There  are two sets of two numbers that satisfy the requirements,
because x will have two values, one positive and one negative.

x^2 + 0.17x = 18.345
x^2 + 0.17x + 0.085^2 = 18.345 + 0.085^2
x^2 + 0.17x + 0.085^2 = 18.345 + 0.085^2
x^2 + 0.17x + 0.085^2 = 18.352225
(x + 0.085)^2 = 18.352225
x + 0.085 = 4.2839
x = 4.2839 - 0.085    x = -4.2839 - 0.085
x = 4.1989            x = -4.3689
y = 4.369              y = -4.201

Due to rounding errors, the multiplication and subtraction
will not produce exact results, but they are within reason.

x = 4.1989, y = 4.369
x * y = 18.34499
y - x = 4.369 - 4.1989
y - x = 0.1701

x = -4.3689, y = -4.201
x * y = -4.3689 * (-4.201) = 18.3537
y - x = -4.201 - (-4.3689)
y - x = 0.1679

by Level 11 User (78.4k points)