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[tex]

2x+3\sqrt{3x-5}=5

[/tex]

[tex]

3\sqrt{3x-5}=5-2x \ \ \ \ \ \ \mid ()^2

[/tex]

[tex]

\\9(3x-5)=25+2*5*(-2x)+(2x)^2

[/tex]

[tex]

\\27x-45=25-20x+4x^2

[/tex]

[tex]

\\27x+20x-4x^2=25+45

[/tex]

[tex]

\\47x-4x^2=70

[/tex]

[tex]

\\-4x^2+47x-70=0

[/tex]

hmhph

[tex]

x= \frac { -47^+_- \sqrt {47^2-4*(-4)*-(70)}}{2*-4}

[/tex]

[tex]

x= \frac { -47^+_-33}{-8}

[/tex]

[tex]

x= \ 10 \ or \ x= \ \frac {7}{4}

[/tex]

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# Homework Help: Simple equation?

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