(1)x^2-2根号3乘以x=0 (2)3x^2-6x=3 (3)3x(x-2x)=3 (4)3x^2-6x-3=0 (

(1)x^2-2根号3乘以x=0 (2)3x^2-6x=3 (3)3x(x-2x)=3 (4)3x^2-6x-3=0 (5)4x^2-121=0

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1、0 或 2根号3 （提取x）

2、1加减根号2

Possible intermediate steps:

3 x^2-6 x = 3

Divide both sides by 3:

x^2-2 x = 1

Add 1 to both sides:

x^2-2 x+1 = 2

Factor the left hand side:

(x-1)^2 = 2

Take the square root of both sides:

abs(x-1) = sqrt(2)

Eliminate the absolute value:

x-1 = -sqrt(2) or x-1 = sqrt(2)

Add 1 to both sides:

x = 1-sqrt(2) or x-1 = sqrt(2)

Add 1 to both sides:

x = 1-sqrt(2) or x = 1+sqrt(2)

注：abs 绝对值 ,sqrt 平方根

3、无实数根、如果你学过复数看下面解题

Possible intermediate steps:

-3 x^2 = 3

Divide both sides by -3:

x^2 = -1

Take the square root of both sides:

x = -i or x = i

4、同（2）

5、正负二分之十一

Possible intermediate steps:

4 x^2-121 = 0

Add 121 to both sides:

4 x^2 = 121

Divide both sides by 4:

x^2 = 121/4

Take the square root of both sides:

x = -11/2 or x = 11/2

毕.

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