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