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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