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  • Solve each of the following equations: (6) x^2-x+2=0

Solve each of the following equations: 

Q: 6        x^2-x+2=0

Answers (1)

best_answer

Given equation is
x^2-x+2=0 
Now, we know that the roots of the quadratic equation are given by the formula
\frac{-b\pm \sqrt{b^2-4ac}}{2a}
In this case value of a = 1 , b = -1 and c = 2
Therefore,
\frac{-(-1)\pm \sqrt{(-1)^2-4.1.2}}{2.1}= \frac{1\pm\sqrt{1-8}}{2} = \frac{1\pm\sqrt{-7}}{2}=\frac{1\pm\sqrt{7}i}{2}
Therefore, the solutions of equation are   \frac{1\pm\sqrt{7}i}{2}

Posted by

Gautam harsolia

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