Solve the following quadratic equation:4 - 11x = 3x^2 - Vidyadip

Question

Solve the following quadratic equation:$4 - 11x = 3x^2$

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Answer

$4 - 11x = 3x^{2}$
$\Rightarrow 3x^2 + 11x - 4 = 0$
$\Rightarrow 3x^2 + 12x - x - 4 = 0$
$\Rightarrow 3x(x + 4) - 1(x + 4) = 0$
$\Rightarrow (x + 4)(3x - 1) = 0$
$\Rightarrow x + 4 = 0$ or $3x - 1 = 0$
$\Rightarrow x = -4$ or $\text{x}=\frac{1}{3}$
Hence, $-4$ and $\frac{1}{3}$ are the roots of the equation $4 - 11x = 3x^2$

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