直接开平方解方程 (2x-1)눀=5和x눀+6x+9=4.

还有(15+x)눀=300
2025-03-11 19:21:08
推荐回答(4个)
回答1:

  1. (2x-1)²=5

    2x-1=±√5

    2x=±√5+1

    x=2/√5+1 或 x=2/-√5+1

  2. x²+6x+9=4

    (x+3)²=4

    x+3=±√4

    x+3=±2

    x=2-3=-1或

    x=-2-3=-5

回答2:

  1. 2x - 1 = sqrt(5) or 2x - 1 = -sqrt(5)

    so x1 = (1 + sqrt(5))/2, x2 = (1 - sqrt()5)/2

  2. x^2 + 6x + 9 = (x + 3)^2 = 4

       so (x + 3) = 2 or (x + 3) = -2

       so x1 = -1, x2 = -5

3. (15 + x)^2 = 300

   so 15 + x = sqrt(300) or 15 + x = -sqrt(300)

   so x1 = -15 + sqrt(300), x2 = -15 - sqrt(300)

回答3:

(2x-1)²=5
解:2x-1=±√5
∴x=1+5√或 1-√5
x²+6x+9=4
解:(x+3)²=4
x+3=±2
∴x= -5或 -1

回答4:

x=二分之√5-1 x=√4-3 x=√300-15