Question
Solve the following quadratic equations by factorization:
$5x^2 - 3x - 2 = 0$
$5x^2 - 3x - 2 = 0$
✓
Answer
We have,$5x^2 - 3x - 2 = 0$
$\Rightarrow 5x^2 - 5x + 2x - 2 = 0$
$\Rightarrow 5x(x - 1) + 2(x - 1) = 0$
$\Rightarrow (x - 1)(5x + 2) = 0$
$\Rightarrow (x - 1) = 0$ or $5x + 2 = 0$
$\Rightarrow x = 1$ or $\text{x}=-\frac{2}{5}$
$\therefore$ $x = 1$ and $\text{x}=-\frac{2}{5}$ are the two roots of the given equation.
$\Rightarrow 5x^2 - 5x + 2x - 2 = 0$
$\Rightarrow 5x(x - 1) + 2(x - 1) = 0$
$\Rightarrow (x - 1)(5x + 2) = 0$
$\Rightarrow (x - 1) = 0$ or $5x + 2 = 0$
$\Rightarrow x = 1$ or $\text{x}=-\frac{2}{5}$
$\therefore$ $x = 1$ and $\text{x}=-\frac{2}{5}$ are the two roots of the given equation.
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