Question
Find roots of polynomial $$ p(x) = 10x+26x+x+\frac{883}{500}+6 $$
Answer
The root of polynomial $ p(x) $ is:
$$ \begin{aligned}x &= -\dfrac{ 3883 }{ 18500 } \end{aligned} $$Explanation
Step 1:
Get rid of fractions by multipling equation by $ \color{blue}{ 500 } $.
$$ \begin{aligned} 10x+26x+x+\frac{883}{500}+6 & = 0 ~~~ / \cdot \color{blue}{ 500 } \\[1 em] 5000x+13000x+500x+883+3000 & = 0 \end{aligned} $$Step 2:
Combine like terms:
$$ \color{blue}{5000x} + \color{red}{13000x} + \color{red}{500x} + \color{green}{883} + \color{green}{3000} = \color{red}{18500x} + \color{green}{3883} $$Step 3:
$$ \begin{aligned} 18500x+3883 & = 0 \\[1 em] 18500 \cdot x & = -3883 \\[1 em] x & = - \frac{ 3883 }{ 18500 } \end{aligned} $$This page was created using
Polynomial Roots Calculator