SOLUTION: Find the x-intercept for the parabola whose equation is given. If the x-intercepts are irrational, round your answers to the nearest tenth. y=-x2+19x-90

Question 1067603: Find the x-intercept for the parabola whose equation is given. If the x-intercepts are irrational, round your answers to the nearest tenth. y=-x2+19x-90
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
intersects the x-axis (the line) when ,
so you have to solve the equation
.
Since I do not like that minus sign at the left end,
I would multiply both sides of the equal sign times to get
the equivalent equation .
Then I would factor that polynomial as
,
and that would tell me that the solutions of the equation are
the solution of and
the solution of .
Those solutions are
and .
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