Question
$$353029+5353x+13x^2 = 1000000$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 5353 }{ 26 }-\dfrac{\sqrt{ 62297101 }}{ 26 } & x_2 = -\dfrac{ 5353 }{ 26 }+\dfrac{\sqrt{ 62297101 }}{ 26 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 353029+5353x+13x^2 &= 1000000&& \text{simplify left side} \\[1 em]13x^2+5353x+353029 &= 1000000&& \text{move all terms to the left hand side } \\[1 em]13x^2+5353x+353029-1000000 &= 0&& \text{simplify left side} \\[1 em]13x^2+5353x-646971 &= 0&& \\[1 em] \end{aligned} $$
$ 13x^{2}+5353x-646971 = 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.
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