解方程(1)y^2+5y+4=0 (2)(3-x)^2+x^2=9 (3)(2x-1)^2-(2x-1)-2=0
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解方程(1)y^2+5y+4=0 (2)(3-x)^2+x^2=9 (3)(2x-1)^2-(2x-1)-2=0
因式分解(1)x^4-9 (2)(x^2-4)^2-6(4-x^2)+9
因式分解(1)x^4-9 (2)(x^2-4)^2-6(4-x^2)+9
解方程(1)y^2+5y+4=0
(y+1)(y+4)=0
y=-1或y=-4
(2)(3-x)^2+x^2=9
9-6x+x^2+x^2=9
2x^2-6x=0
2x(x-3)=0
x=0或x=3
(3)(2x-1)^2-(2x-1)-2=0
[(2x-1)-2][(2x-1)+1]=0
(2x-3)*2x=0
x=3/2或x=0
因式分解(1)x^4-9
=(x^2+3)(x^2-3)
=(x^2+3)(x+根号3)(x-根号3)
(2)(x^2-4)^2-6(4-x^2)+9
=(x^2-4)^2+6(x^2-4)+9
=[(x^2-4)+3]^2
=(x^2-1)^2
=(x+1)^2*(x-1)^2
(y+1)(y+4)=0
y=-1或y=-4
(2)(3-x)^2+x^2=9
9-6x+x^2+x^2=9
2x^2-6x=0
2x(x-3)=0
x=0或x=3
(3)(2x-1)^2-(2x-1)-2=0
[(2x-1)-2][(2x-1)+1]=0
(2x-3)*2x=0
x=3/2或x=0
因式分解(1)x^4-9
=(x^2+3)(x^2-3)
=(x^2+3)(x+根号3)(x-根号3)
(2)(x^2-4)^2-6(4-x^2)+9
=(x^2-4)^2+6(x^2-4)+9
=[(x^2-4)+3]^2
=(x^2-1)^2
=(x+1)^2*(x-1)^2
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