Question

Solve the quadratic inequality, and note end behavior. Give answer in simpified improper fractions.
x^2-34<-x

Answer 1

\[x^2-34\le-x\]

Answer 2

The concave is up

Answer 3

The instructor is looking for x\[\in\]

Answer 4

Just treat it like a normal quadratic, and the less than or equal like an equal. Get it <= 0, then use the quadratic formula to get your roots.

Answer 5

Once you have the roots you'll have something like

\[ (x-a)(x-b) \le 0 \]
Which will give you bounds on x of a and b.