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