Question

In the equation $3x^2-16x=-20$, Calculate the value of $x$.

• A. $2$ or $\frac{10}{3}$
• B. $3$ or $\frac{1}{3}$
• C. $2$ or $\frac{1}{3}$
• D. $4$ or $\frac{10}{3}$

Answer 1

The correct option is A $2$ or $\frac{10}{3}$

$3x^2-16x=-20$

$3x^2-16x+20=0$

$3x^2-6x-10x+20=0$

$3x(x-2)-10(x-2)=0$

$(x-2)(3x-10)=0$

$x-2=0$

$x=2$

$3x-10=0$

$3x=10$

$x=\frac{10}{3}$

Then $x=2$ or $\frac{10}{3}$