## Final Answer

## Step-by-step Solution

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When multiplying two powers that have the same base ($x$), you can add the exponents

Learn how to solve one-variable linear equations problems step by step online.

$x^2-x+3=0$

Learn how to solve one-variable linear equations problems step by step online. Solve the equation xx-x+3=0. When multiplying two powers that have the same base (x), you can add the exponents. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-1 and c=3. Then substitute the values of the coefficients of the equation in the quadratic formula:<ul><li>\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</li></ul>. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-). Calculate the power \sqrt{-11} using complex numbers.