Solve the equation graphically by finding x-intercepts.
-$$| x - 1 | = 11 x + 5$$
A) $x = - \frac { 1 } { 3 }$
B) $x = - \frac { 4 } { 11 }$
C) $x = \frac { 1 } { 3 }$
D) $x = \frac { 4 } { 11 }$

Question

Quizplus · Accepted Answer

The x-intercepts are the points where the graph of the equation crosses the x-axis. To find the x-intercepts, we set y = 0 and solve for x.$$| x - 1 | = 11 x + 5$$$$x - 1 = 11 x + 5 \quad \text{or} \quad x - 1 = - (11 x + 5)$$$$x - 11 x = 5 + 1 \quad \text{or} \quad x + 11 x = -5 + 1$$$$-10 x = 6 \quad \text{or} \quad 12 x = -4$$$$x = - \frac { 6 } { 10 } = - \frac { 3 } { 5 } \quad \text{or} \quad x = - \frac { 4 } { 12 } = - \frac { 1 } { 3 }$$Therefore, the x-intercepts are $x = - \frac { 3 } { 5 }$ and $x = - \frac { 1 } { 3 }$.

Solve the Equation Graphically by Finding X-Intercepts ∣x−1∣=11x+5| x - 1 | = 11 x + 5∣x−1∣=11x+5

Solve the Equation Graphically by Finding X-Intercepts $| x - 1 | = 11 x + 5$