2
x²-3x-2>0======>x<(3-√17)/2或x>(3+√17)/2
x²-3x-10<=0====>(x-5)(x+2)<=0,-2<=x<=5
综合得,原不等式的解为:
-2<=x<(3-√17)/2或(3+√17)/2
-2 <= x < (3-根号17) / 2 或者 (3+根号)17/2 < x <= 5
分成两个不等式:
x^2-3x<=10
x^2-3x-10<=0
(x-5)(x+2)<=0
-2<=x<=5
x^2-3x>2
x^2-3x-2>0
(x-3/2)^2>17/4
x>3/2+√17/2或x<3/2-√17/2
取交集
(3+√17)/2