用因式分解解方程x-2=x(x-2)4x^2-169=0(x-5)^2=2(5-x)2x(x-3)=9-3x(x+4)^2-16x^2=0(3-y)^2+y^2=9

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/16 16:42:39
用因式分解解方程x-2=x(x-2)4x^2-169=0(x-5)^2=2(5-x)2x(x-3)=9-3x(x+4)^2-16x^2=0(3-y)^2+y^2=9
xRAj0X9Z^z RBq[ʎ;;+̎Tiw>>k^;N7h]BkjA :n7h1oѩ-@S$L[]%

用因式分解解方程x-2=x(x-2)4x^2-169=0(x-5)^2=2(5-x)2x(x-3)=9-3x(x+4)^2-16x^2=0(3-y)^2+y^2=9
用因式分解解方程
x-2=x(x-2)
4x^2-169=0
(x-5)^2=2(5-x)
2x(x-3)=9-3x
(x+4)^2-16x^2=0
(3-y)^2+y^2=9

用因式分解解方程x-2=x(x-2)4x^2-169=0(x-5)^2=2(5-x)2x(x-3)=9-3x(x+4)^2-16x^2=0(3-y)^2+y^2=9
1.x-2=x(x-2)
(x-2)(x-1)=0
x=2或x=1
2.4x^2-169=0
(2x+13)(2x-13)=0
x=-13/2或x=13/2
3.(x-5)^2=2(5-x)
(x-5)^2-2(5-x)=0
(x-5)^2+2(x-5)=0
(x-5)(x+2)=0
x=5或x=-2
4.2x(x-3)=9-3x
2x(x-3)=3(3-x)
(x-3)(2x-3)=0
x=3或x=3/2
5.(x+4)^2-16x^2=0
(x+4+4x)(x+4-4x)=0
(5x+4)(4-3x)=0
x=-4/5或x=4/3
6.(3-y)^2+y^2=9
(3-y)^2+y^2-9=0
(3-y)^2+(y+3)(y-3)=0
(y-3)^2+(y+3)(y-3)=0
(y-3)(1+y+3)=0
(y-3)(y+4)=0
y=3或y=-4