SOLUTION: Graph the solution set of the system of inequalities and give the exact coordinates of the intersection points of the related equations: y>x^2-8 x+y≤1

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Question 1161846: Graph the solution set of the system of inequalities and give the exact coordinates of the intersection points of the related equations:
y>x^2-8
x+y≤1

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The solution is the area between the parabola y=x%5E2-8 and the straight line x%2By=1 , including points on the line, but not including points on the parabola.

The boundary lines intersect at the solution of system%28y=1-x%2Cy=x%5E2%2A8%29 ,
where x%5E2-8=1-x --> x%2A2%2Bx-9=0 --> highlight%28x=%28-1+%2B-+sqrt%2837%29%29%2F2%29
The approximate coordinate values for those points are
x=2.541 with y=2.541%5E2-8=-1.543
and
y=-3.541%5E2-8=-1.543 with y=%28-32.541%29%5E2-8=4.539