Find roots of polynomial $$ p(x) = 250+20x+\frac{1}{2} $$

The root of polynomial $ p(x) $ is:

$$ \begin{aligned}x &= -\frac{ 501 }{ 40 } \end{aligned} $$

Step 1:

Get rid of fractions by multipling equation by $ \color{blue}{ 2 } $.

$$ \begin{aligned} 250+20x+\frac{1}{2} & = 0 ~~~ / \cdot \color{blue}{ 2 } \\[1 em] 500+40x+1 & = 0 \end{aligned} $$

Step 2:

Combine like terms:

$$ \color{blue}{500} +40x+ \color{blue}{1} = 40x+ \color{blue}{501} $$

Step 3:

$$ \begin{aligned} 40x+501 & = 0 \\[1 em] 40 \cdot x & = -501 \\[1 em] x & = - \frac{ 501 }{ 40 } \end{aligned} $$

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