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goldfiish [28.3K]
3 years ago
13

Find all real solutions:

Mathematics
1 answer:
Yakvenalex [24]3 years ago
6 0
\frac{1}{x-1}+\frac{1}{x+2}=\frac{5}{4}|\cdot4(x-1)(x+2)\\
D:x\not=1 \wedge x\not=-2\\
4(x+2)+4(x-1)=5(x-1)(x+2)\\
4x+8+4x-4=5(x^2+2x-x-2)\\
8x+4=5x^2+5x-10\\
5x^2-3x-14=0\\
5x^2-10x+7x-14=0\\
5x(x-2)+7(x-2)=0\\
(5x+7)(x-2)=0\\
x=-\frac{7}{5}\vee x=2
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Work Shown:

\begin{array}{|c|c|} \cline{1-2}\text{Number of People} & \text{Score}\\\cline{1-2}9 & 90\\\cline{1-2}18 & 80\\\cline{1-2}15 & 70\\\cline{1-2}\end{array}

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\begin{array}{|c|c|c|} \cline{1-3}\text{Number of People} & \text{Score} & \text{Number*Score}\\\cline{1-3}9 & 90 & 810\\\cline{1-3}18 & 80 & 1440\\\cline{1-3}15 & 70 & 1050\\\cline{1-3}\end{array}

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