Question
$$x^2-x+3\cdot4x+1 = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 11 }{ 2 }-\dfrac{ 3 \sqrt{ 13}}{ 2 } & x_2 = -\dfrac{ 11 }{ 2 }+\dfrac{ 3 \sqrt{ 13}}{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x^2-x+3\cdot4x+1 &= 0&& \text{simplify left side} \\[1 em]x^2-x+12x+1 &= 0&& \\[1 em]x^2+11x+1 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+11x+1 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
This page was created using
Equations Solver