Answer:
[tex]t_1\approx2.18[/tex]
[tex]t_2\approx0.57[/tex]
Step-by-step explanation:
[tex]h=7+44t-16t^2[/tex]
[tex]27=7+44t-16t^2[/tex]
[tex]0=-20+44t-16t^2[/tex]
[tex]0=-16t^2+44t-20[/tex]
[tex]t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]t=\frac{-44\pm\sqrt{44^2-4(-16)(-20)}}{2(-16)}[/tex]
[tex]t=\frac{-44\pm\sqrt{1936-1280}}{-32}[/tex]
[tex]t=\frac{-44\pm\sqrt{656}}{-32}[/tex]
[tex]t=\frac{-44\pm4\sqrt{41}}{-32}[/tex]
[tex]t=\frac{11}{8}\pm\frac{\sqrt{41}}{8}[/tex]
[tex]t_1\approx2.18[/tex]
[tex]t_2\approx0.57[/tex]
