Find the x-intercepts of the graph of each equation.
-$y = 21 x ^ { 2 } + 6 x$
A) $\left( - \frac { 2 } { 7 } , 0 \right)$
B) $( 0,0 )$
C) $\left( - \frac { 2 } { 7 } , 0 \right) , ( 0,0 )$
D) $\left( - \frac { 2 } { 7 } , 0 \right) , ( 6,0 )$

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $y = 0$ and solve for $x$. The equation becomes $0 = 21x^2 + 6x$. Factoring out $x$, we get $x(21x + 6) = 0$, which gives us $x = 0$ and $x = -\frac{6}{21} = -\frac{2}{7}$. Therefore, the x-intercepts are $\left( - \frac { 2 } { 7 } , 0 \right)$ and $(0,0)$.

Find the X-Intercepts of the Graph of Each Equation y=21x2+6xy = 21 x ^ { 2 } + 6 xy=21x2+6x

Find the X-Intercepts of the Graph of Each Equation $y = 21 x ^ { 2 } + 6 x$