Question

Solve the following quadratic equation by factorization, the roots are :$5$, $\frac{-1}{3}$
$3x^2$ - 14x - 5 = 0

• A. True
• B. False

Answer 1

The correct option is A True

$3x^2-14x-5=0$

$\Rightarrow$ $3x^2-15x+x-5=0$

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

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

$\Rightarrow$ $x-5=0$ and $3x+1=0$

$\therefore$ $x=5$ and $x=\frac{-1}{3}$

$\therefore$ We can see, roots given in question are correct.