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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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