Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\sqrt{\frac{3x+2}{5-x}+\sqrt{\frac{4-x}{7-2x}}$$

Answer

sqrt(3*x)+27-10*x

Solution


Since \(2\times 2=4\), the square root of \(4\) is \(2\).
\[\sqrt{3x}+25-x+2-x\times 7-2x\]
Regroup terms.
\[\sqrt{3x}+25-x+2-7x-2x\]
Collect like terms.
\[\sqrt{3x}+(25+2)+(-x-7x-2x)\]
Simplify.
\[\sqrt{3x}+27-10x\]
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