Solve the following quadratic equation by factorization:
$5x^2\ –\ 3x\ –\ 2\ =\ 0$

Given:

Given quadratic equation is $5x^2\ –\ 3x\ –\ 2\ =\ 0$.

To do:

We have to solve the given quadratic equation by factorization. 

Solution:

$5x^2\ –\ 3x\ –\ 2\ =\ 0$

$5x^2-5x+2x-2=0$ 

$5x(x-1)+2(x-1)=0$

$(5x+2)(x-1)=0$

$5x+2=0$ or $x-1=0$

$5x=-2$ or $x=1$

$x=\frac{-2}{5}$ or $x=1$

The roots of the given quadratic equation are $\frac{-2}{5}$ and $1$.  

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Updated on: 10-Oct-2022

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