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受欢迎的代数 >

(2x-1)n^2-(3x-1)n-2(x-1)=0

解答

(2 x - 1) n^{2} - (3 x - 1) n - 2 (x - 1) = 0

解答

x = \frac{n + 1}{2 n + 1}; n \neq = 2, n \neq = - \frac{1}{2}

求解步骤

(2 x - 1) n^{2} - (3 x - 1) n - 2 (x - 1) = 0

展开

(2 x - 1) n^{2} - (3 x - 1) n - 2 (x - 1) : 2 n^{2} x - n^{2} - 3 n x + n - 2 x + 2

2 n^{2} x - n^{2} - 3 n x + n - 2 x + 2 = 0

将

n^{2}

到右边

2 n^{2} x - 3 n x + n - 2 x + 2 = n^{2}

将

n

到右边

2 n^{2} x - 3 n x - 2 x + 2 = n^{2} - n

将

2

到右边

2 n^{2} x - 3 n x - 2 x = n^{2} - n - 2

分解

2 n^{2} x - 3 n x - 2 x : x (2 n^{2} - 3 n - 2)

x (2 n^{2} - 3 n - 2) = n^{2} - n - 2

两边除以

2 n^{2} - 3 n - 2; n \neq = 2, n \neq = - \frac{1}{2}

x = \frac{n + 1}{2 n + 1}; n \neq = 2, n \neq = - \frac{1}{2}

作图

流行的例子

x - 13 = - 4

(3x-1)/2+(x-1)/3+x/5 =1

\frac{3 x - 1}{2} + \frac{x - 1}{3} + \frac{x}{5} = 1

5 x + 6 = - 4

\frac{h}{2} - (- 1) = 4

9/5 (3-x)= 3/4 (x-3)

\frac{9}{5} (3 - x) = \frac{3}{4} (x - 3)