Задание 12

Question

Решите уравнения:
\begin{enumerate}
\item $12.5х^2 = 2$
\item $8х^2 - 0.5 = 0$
\item $x^2 + 6.5x - 3.5 = 0$
\item $0.5 x^2 - 9 + 1.5x=0$
\end{enumerate}

Gimli · Accepted Answer

\begin{enumerate}

\item $12.5х^2 = 2$
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	$x =  \pm\sqrt{\frac{20}{125}}$
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	$x =  \pm\sqrt{0.16}$
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	$x =  \pm 0.4$

\item 
	$8х^2 - 0.5 = 0$
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	$8x^2 = 0.5$
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	$x^2 = \frac{1}{16}$
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	$x =  \pm 0.25$
	
\item $x^2 + 6.5x - 3.5 = 0$
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	$D = 42.25 + 14 = 56.25 = 7.5^2$
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	$D > 0, \implies$ ypaвнение имеет 2 решения.
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	$x_1 = \frac{1}{2}$, $x_2 = -7$

\item $0.5 x^2 + 1/5x - 9 = 0$
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	$x^2 + 3x - 18 = 0$
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	$D = 9 + 72 = 81 = 9^2$ 
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	$D > 0 \implies$ ypaвнение имеет 2 решения.
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	$x_1 = 6/2 = 3$, $x_2 = -12/2= -6$
	
\end{enumerate}

Задание 12

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Задание 12

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