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Stella [2.4K]
4 years ago
5

Solve the following equation, and check your solution. Be sure to show all work

Mathematics
1 answer:
fgiga [73]4 years ago
7 0
24 - 3x = -27

therefore -3x = -27-24

-3x = -51
-x= -17
therefore x is 17
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Factorize both quadratic polynomials, as shown below

\begin{gathered} a^2-3a-4=0 \\ \Rightarrow a=\frac{3\pm\sqrt{9+16}}{2}=\frac{3\pm\sqrt{25}}{2}=\frac{3\pm5}{2}\Rightarrow a=-1,4 \\ \Rightarrow a^2-3a-4=(a+1)(a-4) \\  \end{gathered}

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\begin{gathered} a^2+5a+4=0 \\ \Rightarrow a=\frac{-5\pm\sqrt{25-16}}{2}=\frac{-5\pm3}{2}\Rightarrow a=-1,-4 \\ \Rightarrow a^2+5a+4=(a+1)(a+4) \end{gathered}

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\Rightarrow\frac{a^2-3a-4}{a^2+5a+4}=\frac{(a+1)(a-4)}{(a+1)(a+4)}

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<h2>The variable restrictions for the original expression are a≠-1,-4</h2>

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2 years ago
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Step-by-step explanation:

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