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3 years ago

1. solve the following quadratic equation by factoring. Show all work and check your answer.

Mathematics

1 answer:

expeople1 [14]3 years ago

4 0

Answer:

x = -4, x = 1

Step-by-step explanation:

x^2 + 3x - 4 = 0

4 and -1 add to 3 and multiply to -4.

(x+4)(x-1) = 0

Separate these by the Zero Product Property.

x+4 = 0

x-1 = 0

Solve.

x = -4

x = 1

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$\bf \begin{cases}
r=\textit{rate of the plane}\\
w=\textit{rate of the wind}\\
\end{cases}
\\\\

\begin{array}{ccccllll}
&distance&rate&time(hrs)\\
&\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\\
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\textit{against wind}&1120&r-w&4
\end{array}
$

$\bf thus \begin{cases}
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\\\\
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--------------\\
630=(r+w)\frac{3}{2}\implies 630\cdot \frac{2}{3}=r+w\\
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--------------\\
thus\\
--------------\\
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\\\\
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