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受欢迎的代数 >

a+b=30,a-b=20 a/b

解答

a + b = 30, a - b = 20 \frac{a}{b}

解答

(a = \frac{35}{2} + i \frac{5 23}{2}, a = \frac{35}{2} - i \frac{5 23}{2}, b = \frac{25}{2} - i \frac{5 23}{2} b = \frac{25}{2} + i \frac{5 23}{2})

求解步骤

[a + b = 30 a - b = 20 \cdot \frac{a}{b}]

对于

a + b = 30

将

a

移到一边:

a = 30 - b

将解

a = 30 - b

代入

a - b = 20 \frac{a}{b}

对于

a - b = 20 \frac{a}{b}

，用

30 - b

替代

a : b = \frac{25}{2} - i \frac{5 23}{2}, b = \frac{25}{2} + i \frac{5 23}{2}

将解

b = \frac{25}{2} - i \frac{5 23}{2}, b = \frac{25}{2} + i \frac{5 23}{2}

代入

a + b = 30

对于

a + b = 30

，用

\frac{25}{2} - i \frac{5 23}{2}

替代

b : a = \frac{35}{2} + i \frac{5 23}{2}

对于

a + b = 30

，用

\frac{25}{2} + i \frac{5 23}{2}

替代

b : a = \frac{35}{2} - i \frac{5 23}{2}

将解代入原方程进行验证

因而，

a + b = 30, a - b = 20 \frac{a}{b}

最后的解是

(a = \frac{35}{2} + i \frac{5 23}{2}, a = \frac{35}{2} - i \frac{5 23}{2}, b = \frac{25}{2} - i \frac{5 23}{2} b = \frac{25}{2} + i \frac{5 23}{2})

作图

流行的例子

f(x)=2,x^2-7x+3=12

f (x) = 2, x^{2} - 7 x + 3 = 12

x+y-z=5,-x+y+z=1

x + y - z = 5, - x + y + z = 1

x+y=7,x+z=4x+y+z

x + y = 7, x + z = 4 x + y + z

x + y = 10, x y = 16

4y^2-34y+289=0,x^2=6

4 y^{2} - 34 y + 289 = 0, x^{2} = 6