(1)探究下表中的奥秘,并完成填空:
一元二次方程根二次三项式x2-25=0x1=5,x2=-5x2-25=(x-5)(x+5)x2+6x-16=0x1=2,x2=-8x2+6x-16=(x-2)(x+8)3x2-4x=0__3x2-4x=3(x-__? )(x-__ )5x2-4x-1=0x1=5,x2=-5x2-4x-1=5(x-1)(x+)2x2-3x+1=0__2x2-3x+1=__(2)仿照上表把二次三项式ax2+bx+c(其中b2-4ac≥0)进行分解?
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解:(1)
一元二次方程根二次三项式x2-25=0x1=5,x2=-5x2-25=(x-5)(x+5)x2+6x-16=0x1=2,x2=-8x2+6x-16=(x-2)(x+8)3x2-4x=0x1=0,x2=3x2-4x=3(x-0)(x-)5x2-4x-1=0x1=5,x2=-5x2-4x-1=5(x-1)(x+)2x2-3x+1=0x1=1,x2=2x2-3x+1=2(x-1)(x-)故本题