An event organizer is reserving rooms for two company-wide events. For the quarterly meeting this month, she reserved 3 conference rooms and 5 ballrooms, which can seat a
total of 379 attendees. For safety training next month, she reserved 3 conference rooms and
4 ballrooms, which can seat 314 attendees. How many attendees can each room
accommodate?

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Ответ:

cindy437596

22.03.2021

Mathematics

The solution is x=-1 and x=-0.5

Step-by-step explanation:

The expression is 2x(x+1.5)=-1

Multiplying the term x+1.5 by , we get,

$2x^{2} +3x=-1$

Adding both sides by 1,

$2x^{2} +3x+1=0$

Taking factor, we get,

$\begin{array}{r}{x^{2}+2 x+x+1=0} \\{2 x(x+1)+1(x+1)=0} \\{(2 x+1)(x+1)=0}\end{array}$

Equating the factors to 0,

$\begin{aligned}2 x+1 &=0 \\2 x &=-1 \\x &=-\frac{1}{2}\\x&=-0.5\end{aligned}$ and $\begin{aligned}x+1 &=0 \\x &=-1\end{aligned}$

Thus, the smaller value is x=-1

The solution is x=-1 and x=-0.5

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