Find the x- and y-intercepts: $$f ( x ) = 36 x ^ { 2 } - 48 x + 5$$
A) $\left( \frac { - 4 + \sqrt { 11 } } { 6 } , 0 \right) , \left( \frac { - 4 - \sqrt { 11 } } { 6 } , 0 \right) ; ( 0,5 )$
B) $\left( \frac { 4 + \sqrt { 11 } } { 6 } , 0 \right) , \left( \frac { 4 - \sqrt { 11 } } { 6 } , 0 \right) ; ( 0,5 )$
C) $\left( \frac { 4 + \sqrt { 11 } } { 6 } , 0 \right) , \left( \frac { 4 - \sqrt { 11 } } { 6 } , 0 \right) ; ( 0 , - 5 )$
D) $\left( \frac { 4 + \sqrt { 11 } } { 12 } , 0 \right) , \left( \frac { 4 - \sqrt { 11 } } { 12 } , 0 \right) ; ( 0,5 )$
E) No intercepts; (0, 5)

Question

Quizplus · Accepted Answer

The x-intercepts are found by solving $36x^2 - 48x + 5 = 0$, which gives roots $\frac{4 \pm \sqrt{11}}{6}$. The y-intercept is found by evaluating $f(0)$, which is 5.

Find the X- and Y-Intercepts f(x)=36x2−48x+5f ( x ) = 36 x ^ { 2 } - 48 x + 5f(x)=36x2−48x+5

Find the X- and Y-Intercepts $f ( x ) = 36 x ^ { 2 } - 48 x + 5$