SOLUTION: I've been learning how to solve quadratic inequalties at school recently. I have no problems with them. But I am not sure how quadratic inequalities with a negative x^2 will be sol

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Question 14278: I've been learning how to solve quadratic inequalties at school recently. I have no problems with them. But I am not sure how quadratic inequalities with a negative x^2 will be solved. i've been taught to use the graphical method of solving them. any help?
e.g.
y<-x^2+3x-8
y>-2x^2-7x+3
Answer by longjonsilver(2297) (Show Source):
You can put this solution on YOUR website!
for something like we have to find the roots first, this being . We can just re-arrange this as . Solve that one.

Remember that when x^2 is +ve --> shape looks like a "u"
and that when x^2 is -ve --> shape looks like a "n"

So, once you have found the 2 roots, make sure your graph is n-shaped through those 2 points.

Look at th eQ now..where is y less than... it is less than to the left of the left root and to the right of the right root.

Hope this helps?... a bit difficult within good diagrams.

I think i have Lessons on this website too, so look at those to help you.

jon.