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Solve for x:

(3x + 12)(x + 4) = (4x^2 + 8x + 18x^2)/(2x).

 
 Aug 5, 2022

Best Answer 

 #1
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\(3x^2+24x+48=11x+4\)

\(\Rightarrow 3x^2+13x+44=0\)

 

Solve with quadratic equation:

\(\Rightarrow \frac{-13\pm \sqrt{13^2-4\cdot \:3\cdot \:44}}{2\cdot \:3}\)

\(\Rightarrow \frac{-13\pm \sqrt{359}i}{6}\)

 

\(x =\boxed{ -\frac{13}{6} + \frac{\sqrt{359}}{6}i , -\frac{13}{6} - \frac{\sqrt{359}}{6}i }\)

 
 Aug 5, 2022
 #1
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+1
Best Answer

\(3x^2+24x+48=11x+4\)

\(\Rightarrow 3x^2+13x+44=0\)

 

Solve with quadratic equation:

\(\Rightarrow \frac{-13\pm \sqrt{13^2-4\cdot \:3\cdot \:44}}{2\cdot \:3}\)

\(\Rightarrow \frac{-13\pm \sqrt{359}i}{6}\)

 

\(x =\boxed{ -\frac{13}{6} + \frac{\sqrt{359}}{6}i , -\frac{13}{6} - \frac{\sqrt{359}}{6}i }\)

 
Guest Aug 5, 2022

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