Michael P. answered • 02/21/18

Tutor

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Quick Answers to Math, Chemistry, and Physics Problems

Simplify or factor terms with X:

(X^2 - 3X + 2)*X - 2 = 0

Then further simplify or factor:

(X - 2)*(X - 1)*X - 2 = 0

Therefore, you can find the first two "easy" roots, X = 2 and X = 1

But you need the 3rd root to show where the function crosses the abscissa (X-axis) at Y = 0

You can either plot function or solve by a Newton-Raphson method or use trial-n-error guessing - keep inserting a value for X until you reach a solution at a couple places past the decimal point .. the latter method is time-consuming

I obtained X = 2.5214 (to nearest 10,000th)

where: f(X) = 0.0001206203 so this should be adequate