1、用因式分解法解下列方程:(1)3y^2-5y=0 (2)4x^2=12x (3)x^2+9=-6x (4)9x^2=(x-1)^2 (5) (x-2)(2x-3)=6 (6) x(x-4)= - 4 (7) (2x-1)^2= - 8 (8) (x-2)^2=2x(x-2)
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![1、用因式分解法解下列方程:(1)3y^2-5y=0 (2)4x^2=12x (3)x^2+9=-6x (4)9x^2=(x-1)^2 (5) (x-2)(2x-3)=6 (6) x(x-4)= - 4 (7) (2x-1)^2= - 8 (8) (x-2)^2=2x(x-2)](/uploads/image/z/959724-36-4.jpg?t=1%E3%80%81%E7%94%A8%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%E6%B3%95%E8%A7%A3%E4%B8%8B%E5%88%97%E6%96%B9%E7%A8%8B%3A%281%293y%5E2-5y%3D0+++%EF%BC%882%EF%BC%894x%5E2%3D12x++++%283%29x%5E2%2B9%3D-6x+++++%284%299x%5E2%3D%28x-1%29%5E2++++++++++%285%29+%28x-2%29%282x-3%EF%BC%89%3D6++%EF%BC%886%EF%BC%89+x%28x-4%29%3D+-+4++++++++++%287%29+%282x-1%29%5E2%3D+-+8++++++++++++++++%288%29++++%28x-2%29%5E2%3D2x%28x-2%29)
1、用因式分解法解下列方程:(1)3y^2-5y=0 (2)4x^2=12x (3)x^2+9=-6x (4)9x^2=(x-1)^2 (5) (x-2)(2x-3)=6 (6) x(x-4)= - 4 (7) (2x-1)^2= - 8 (8) (x-2)^2=2x(x-2)
1、用因式分解法解下列方程:
(1)3y^2-5y=0 (2)4x^2=12x (3)x^2+9=-6x (4)9x^2=(x-1)^2 (5) (x-2)(2x-3)=6
(6) x(x-4)= - 4 (7) (2x-1)^2= - 8 (8) (x-2)^2=2x(x-2)
2、解方程 x^2-2√3 x= - 3
求解、求详细答案.比如,
x^3-3x^2-13x+15
=x^3-3x^2+2x-15x+15
=x(x^2-3x+2)-15(x-1)
=x(x-2)(x-1)-15(x-1)
=(x-1)[x(x-2)-15]
=(x-1)[x^2-2x-15]
=(x-1)(x-5)(x+3) 这样的
1、用因式分解法解下列方程:(1)3y^2-5y=0 (2)4x^2=12x (3)x^2+9=-6x (4)9x^2=(x-1)^2 (5) (x-2)(2x-3)=6 (6) x(x-4)= - 4 (7) (2x-1)^2= - 8 (8) (x-2)^2=2x(x-2)
1.3y^2-5y=0
y(3y-5)=0
y1=0,y2=3/5
2.4x^2=12x
4x²-12x=0
4(x²-3x)=0
x(x-3)=0
x1=0,x2=3
3.x^2+9=-6x
x²+6x+9=0
(x+3)²=0
x=-3
4.9x^2=(x-1)^2
9x²-(x-1)²=0
[3x+(x-1)][3x-(x-1)]=0
(4x-1)(2x+1)=0
x1=1/4 ,x2=-1/2
(5) (x-2)(2x-3)=6
2x²-3x-4x+6-6=0
2x²-7x=0
x(2x-7)=0
x1=0,x2=2/7
(6) x(x-4)= - 4
x²-4x+4=0
(x-2)²=0
x=2
(7) (2x-1)^2= - 8
x无解
(8) (x-2)^2=2x(x-2)
x²-4x+4-2x²+4x=0
-x²+4=0
x²-4=0
(x+2)(x-2)=0
x1=-2,x2=2
2、解方程 x^2-2√3 x= - 3
x^2-2√3 x +3=0
(x-√3)²=0
x=√3