Question
Find roots of polynomial $$ p(x) = \frac{3}{4}-4x-x $$
Answer
The root of polynomial $ p(x) $ is:
$$ \begin{aligned}x &= \dfrac{ 3 }{ 20 } \end{aligned} $$Explanation
Step 1:
Get rid of fractions by multipling equation by $ \color{blue}{ 4 } $.
$$ \begin{aligned} \frac{3}{4}-4x-x & = 0 ~~~ / \cdot \color{blue}{ 4 } \\[1 em] 3-16x-4x & = 0 \end{aligned} $$Step 2:
Combine like terms:
$$ 3 \color{blue}{-16x} \color{blue}{-4x} = \color{blue}{-20x} +3 $$Step 3:
$$ \begin{aligned} -20x+3 & = 0 \\[1 em] -20 \cdot x & = -3 \\[1 em] x & = - \frac{ 3 }{ -20 } \\[1 em] x & = \frac{ 3 }{ 20 } \end{aligned} $$This page was created using
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