Let's solve your inequality step-by-step.
−x−4xx>10
−4x2−x>10
Let's find the critical points of the inequality.
−4x2−x=10
−4x2−x−10=10−10(Subtract 10 from both sides)
−4x2−x−10=0
For this equation: a=-4, b=-1, c=-10
−4x2+−1x+−10=0
x=
−b±√b2−4ac
2a
(Use quadratic formula with a=-4, b=-1, c=-10)
x=
−(−1)±√(−1)2−4(−4)(−10)
2(−4)
x=
1±√−159
−8
