1.1 1.2
(x-3)(x-2)=0 (2x-3)(x+1)=0
x1=2 x1=3/2
x2=3 x2=-1
2.将x=4代入方程x^2-(m-3)x-3m=0
16-4(m-3)-3m=0
m=4
将m=4代入方程x^2-(m-3)x-3m=0
(x-4)(x+3)=0
x1=4,x2=-3
则它的另一个根-3
3.设路面宽Xcm.
[(48-x)(24-x)]/(48*24)=5/9
x1=64,x2=8
因为x1大于48,所以x=8
所以,路面宽8cm
4.1 6[x^2-(1/6)x+(1/144)-(289/24)=0
6[x-(1/12)]^2=(289/144)
x-(1/12)=(17/12) x-(1/12)=-(17/12)
x1=3/2,x2=-4/3
4.2 x^2+6x+9-9-7=0
x^2+6x+9-16=0
(x+3)^2=16
x+3=4 x+3=-4
x1=1,x2=-4
4.3 y^2+6y+9-9+5=0
(y+3)^2=4
y+3=2 y+3=-2
y1=-1 ,y2=-5