Solve the following equation - x - 42 - 4x3 - 9

Given x+42+4 x3=9 3(x+4)+2(4 x)6=9 3x+12+8x=54 11x=42 x=4211 ...

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Applications (Word Problem)

Solve the fol...

Question

Solve the following equation :
$\frac{x + 4}{2} + \frac{4 x}{3} = 9$

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Solution

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l o g_{(2 x + 3)} (6 x^{2} + 23 x + 21) = 4 - l o g_{(3 x + 7)} (4 x^{2} + 12 x + 9)

\sqrt{x^{2} + 2 x + 1} - \sqrt{x^{2} - 4 x + 4} = 3

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{log}_{3 x + 7} (9 + 12 x + 4 x^{2}) + {log}_{2 x + 3} (6 x^{2} + 23 x + 21) = 4

\frac{(4 x + 1)^{2} + (2 x + 3)^{2}}{4 x^{2} + 12 x + 9} = \frac{61}{36}

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