4x方-4x-15大于等于0,求绝对值2x+3在+上根号下4x方-20x+25的解?

4x方-4x-15大于等于0,求绝对值2x+3在+上根号下4x方-20x+25的解?
4x方-4x-15大于等于0,求绝对值2x+3在+上根号下4x方-20x+25的解?

4x方-4x-15大于等于0,求绝对值2x+3在+上根号下4x方-20x+25的解?
4x^2-4x-15≥0
(2x+3)(2x-5)≥0
x≥5/2或x≤-3/2
x≥5/2时
绝对值2x+3在+上根号下4x方-20x+25
=(2x+3)+√(2x-5)^2
=(2x+3)+(2x-5)
=4x-2
x≤-3/2时
绝对值2x+3在+上根号下4x方-20x+25
=-(2x+3)+√(2x-5)^2
=-(2x+3)+(5-2x)
=2-4x