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

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