因式分解4x^2-5x-3如题

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因式分解4x^2-5x-3如题因式分解4x^2-5x-3如题因式分解4x^2-5x-3如题4x^2-5x-3=(x-(5+√73)/8)(x-(5-√73)/8)=[x+(5+√73)/8][x-(5

因式分解4x^2-5x-3如题
因式分解4x^2-5x-3
如题

因式分解4x^2-5x-3如题
4x^2-5x-3
=(x-(5+√73)/8)(x-(5-√73)/8)

=[x+(5+√73)/8][x-(5-√73)/8]

(2x+1)(2x-3)

原式=4x^2-5x+(5/4)^2-3-(5/4)^2=(2x-5/4)^2-73/16
=(2x-5/4+1/2*√7)(2x-5/4-1/2*√73)
=(2x+(2√73-5)/4)(2x-(5+2√73)/4)