Solution assignment 04 Quadratic equations (abc-formula)

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Assignment 4

Solve:

3x^2+x-2=0

Solution

Because a=3\neq1 we cannot easily factorize the left-hand side. So we have to apply the abc-formula:

x_{1,2}=\displaystyle\frac{-1\pm\sqrt{1^2-4.3.-2}}{2.3}=\displaystyle\frac{-1\pm5}{6}

The solutions are:

x_1=-1 or x=\displaystyle\frac{2}{3}

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