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受欢迎的代数 >

(m(m-x))/n-x=(n(n+x))/m

解答

\frac{m ( m - x )}{n} - x = \frac{n ( n + x )}{m}

解答

x = - n + m; mn \neq = 0, m \neq = - \frac{n}{2} - i \frac{3 n}{2}, m \neq = - \frac{n}{2} + i \frac{3 n}{2}

求解步骤

\frac{m ( m - x )}{n} - x = \frac{n ( n + x )}{m}

乘以最小公倍数

m^{2} (m - x) - x mn = n^{2} (n + x); mn \neq = 0

展开

m^{2} (m - x) - x mn : m^{3} - m^{2} x - mn x

展开

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

m^{3} - m^{2} x - mn x = n^{3} + n^{2} x; mn \neq = 0

将

m^{3}

到右边

- m^{2} x - mn x = n^{3} + n^{2} x - m^{3}; mn \neq = 0

将

n^{2} x

para o lado esquerdo

- m^{2} x - mn x - n^{2} x = n^{3} - m^{3}; mn \neq = 0

分解

- m^{2} x - mn x - n^{2} x : - x (m^{2} + mn + n^{2})

- x (m^{2} + mn + n^{2}) = n^{3} - m^{3}; mn \neq = 0

两边除以

- (m^{2} + mn + n^{2}); mn \neq = 0, m \neq = - \frac{n}{2} - i \frac{3 n}{2}, m \neq = - \frac{n}{2} + i \frac{3 n}{2}

x = - n + m; mn \neq = 0, m \neq = - \frac{n}{2} - i \frac{3 n}{2}, m \neq = - \frac{n}{2} + i \frac{3 n}{2}

作图

流行的例子

solvefor x,6x+9y=27

so l v e f or x, 6 x + 9 y = 27

5 - 21 - 6 x = 27 - 9 x

- 6 s = 35

\frac{3 x}{4} - 6 = \frac{x}{4}

k^2(a-bi)+49i(a+bi)=0

k^{2} (a - bi) + 49 i (a + bi) = 0