SOLUTION: A new excavation site that fits a parabola with the equation y =x squared +11x+10. The hole must be more than 10m wide across the top for a bobcat to be able to dig it. If the gro

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A new excavation site that fits a parabola with the equation y =x squared +11x+10. The hole must be more than 10m wide across the top for a bobcat to be able to dig it. If the gro      Log On


   

Question 587907: A new excavation site that fits a parabola with the equation y =x squared +11x+10. The hole must be more than 10m wide across the top for a bobcat to be able to dig it. If the ground level is taken as the x= axis,is the hole able to be dug by the bobcat?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Here's the plot:
+graph%28+400%2C+400%2C+-12%2C+5%2C+-20%2C+5%2C+x%5E2+%2B+11x+%2B+10+%29+
+x%5E2+%2B+11x+%2B+10+
+%28+x+%2B+1+%29%2A%28+x+%2B+10+%29+=+0+
+x+=+-1+
+x+=+-10+
The difference between the roots is +-1+-%28-10%29+=+9+,
so at y=0, which is at ground level, the hole is 9 m wide
and can't be dug