Solve. First try to solve the equation by factoring. If you are unable to solve the equation by factoring, solve the equation by completing the square. (Enter your answers as a comma-separated list.) \[ x^{2}-x-1=0 \] Noed Help? Readit Watehn

Graph the parabola. \[ y=(x-1)^{2}+5 \] Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button.

Solve the inequality. Express the solution set in set-builder notation and interval notation. Graph the solution set on a real number line. \( \frac{1}{2}(n-4)>n+5 \)

7. \( 2 x^{2}+x-4=0 \) \( \begin{array}{ll}\text { a. }-\frac{1}{2} \pm \frac{\sqrt{33}}{4} & \text { c. }-\frac{1}{4} \pm \frac{\sqrt{33}}{4} \\ \text { b. }-4 \pm \frac{\sqrt{66}}{4} & \text { d. }-\frac{1}{2} \pm \frac{\sqrt{33}}{2}\end{array} \)

Elsa løper ei løype som er \( 1,75 \mathrm{~km} \) kortere enn den William loper, Tariq løper \( 15,95 \mathrm{~km} \), og det er 2,43 lenger enn William. Hvor langt løper Elsa og William?

d) \( 16 \cdot 4^{15}:\left(8^{2} \cdot 4^{5}\right)=8^{x} \)