Question

The roots of the equation ${6x}^2-5x-21=0$ are

• A. $-\frac{7}{3}$ and $-\frac{3}{2}$
• B. $\frac{7}{3}$ and $\frac{3}{2}$
• C. $\frac{7}{3}$ and $-\frac{3}{2}$
• D. $-\frac{7}{3}$ and $\frac{3}{2}$

Answer 1

The correct option is C $\frac{7}{3}$ and $-\frac{3}{2}$

Given equation is:

${6x}^2-14x+9x-21=0$
$\Rightarrow 2x(3x-7)+3(3x-7)=0$
$\Rightarrow (3x-7)(2x+3)=0$
$\Rightarrow x=\frac{7}{3},x=-\frac{3}{2}$