Solve the following quadratic equation by factorization:
$3x^2\ –\ 14x\ –\ 5\ =\ 0$

Given:

Given quadratic equation is $3x^2\ –\ 14x\ –\ 5\ =\ 0$

To do:

We have to solve the given quadratic equation by factorization.

Solution:

$3x^2\ –\ 14x\ –\ 5\ =\ 0$

$3x^2-15x+x-5=0$ 

$3x(x-5)+1(x-5)=0$

$(3x+1)(x-5)=0$

$3x+1=0$ or $x-5=0$

$3x=-1$ or $x=5$

$x=\frac{-1}{3}$ or $x=5$

The roots of the given quadratic equation are $\frac{-1}{3}$ and $5$.

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Updated on: 10-Oct-2022

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