Final answer to the problem
$x=\frac{-1+\sqrt{3}i}{2},\:x=\frac{-1-\sqrt{3}i}{2}$
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1
Apply the formula: $x^2+x+c=0$$\to x=\frac{-1\pm \sqrt{1-4c}}{2}$, where $c=1$
$x=\frac{-1\pm \sqrt{1-4\cdot 1}}{2}$
Learn how to solve equations quadratiques problems step by step online.
$x=\frac{-1\pm \sqrt{1-4\cdot 1}}{2}$
Learn how to solve equations quadratiques problems step by step online. Solve the quadratic equation x+x^2+1=0. Apply the formula: x^2+x+c=0\to x=\frac{-1\pm \sqrt{1-4c}}{2}, where c=1. Apply the formula: x=\frac{b\pm c}{f}\to x=\frac{b+c}{f},\:x=\frac{b-c}{f}, where b=-1, c=\sqrt{1-4\cdot 1} and f=2. Apply the formula: ab=ab, where ab=-4\cdot 1, a=-4 and b=1. Apply the formula: ab=ab, where ab=-4\cdot 1, a=-4 and b=1.
Final answer to the problem
$x=\frac{-1+\sqrt{3}i}{2},\:x=\frac{-1-\sqrt{3}i}{2}$
