解方程(1)5x^2-1=0(2)x^2-2x=1(3)(x-1)^2=(2-5x)^2 (4)3x^2-根号3x+6分
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解方程(1)5x^2-1=0(2)x^2-2x=1(3)(x-1)^2=(2-5x)^2 (4)3x^2-根号3x+6分之1=0
![解方程(1)5x^2-1=0(2)x^2-2x=1(3)(x-1)^2=(2-5x)^2 (4)3x^2-根号3x+6分](/uploads/image/z/7529787-27-7.jpg?t=%E8%A7%A3%E6%96%B9%E7%A8%8B%281%295x%5E2-1%3D0%282%29x%5E2-2x%3D1%283%29%28x-1%29%5E2%3D%282-5x%29%5E2+%284%293x%5E2-%E6%A0%B9%E5%8F%B73x%2B6%E5%88%86)
(1)5x^2-1=0, 5x^2=1, x^2=1/5, x=±√5/5
(2)x^2-2x=1, x^2-2x+1=2, (x-1)²=2, x-1=±√2, x=1±√2
(3)(x-1)^2=(2-5x)^2 , x²-2x+1=4-20x+25x², 24x²-18x+3=0, 8x²-6x+1=0, (2x-1)(4x-1)=0
x①=1/2. x②=1/4.
(4)3x^2-根号3x+6分之1=0, 3x²-x√3+1/6=0, 18x²-x6√3+1=0,
x=[6√3±√(108-72)]/36=[6√3±6]/36=[√3±1]/6
x①=[√3+1]/6.
x②=[√3-1]/6
(2)x^2-2x=1, x^2-2x+1=2, (x-1)²=2, x-1=±√2, x=1±√2
(3)(x-1)^2=(2-5x)^2 , x²-2x+1=4-20x+25x², 24x²-18x+3=0, 8x²-6x+1=0, (2x-1)(4x-1)=0
x①=1/2. x②=1/4.
(4)3x^2-根号3x+6分之1=0, 3x²-x√3+1/6=0, 18x²-x6√3+1=0,
x=[6√3±√(108-72)]/36=[6√3±6]/36=[√3±1]/6
x①=[√3+1]/6.
x②=[√3-1]/6
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