Find the roots of the equation \(4-11x=3x^{2}\)

Question Id: MA0000001

Question: Find the roots of the equation \(4-11x=3^{2}\)

To find: roots of the equation \(4-11x=3x^{2}\)

Solution: 

Given a quadratic equation , so it must have two roots

\[4-11x=3x^{2}\]

\[\Rightarrow 3x^{2}+11x-4=0\]

\[\Rightarrow 3x^{2}+12x-x-4=0\]

\[\Rightarrow 3x(x+4)-1(x+4)=0\]

\[\Rightarrow (3x-1)(x+4)=0\]

So, either \(\Rightarrow 3x-1=0\) or \(x+4=0\)

If \(\Rightarrow 3x-1=0\) then \(x=\frac{1}{3}\)

If \(\Rightarrow x+4=0\) then \(x=-4\)

Hence, roots of the equation are \(-4\) and \(-\frac{1}{3}\) . (Answer)

 

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