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受欢迎的代数 >

x^2-31x+184=0,y^2-49y+600=0

解答

x^{2} - 31 x + 184 = 0, y^{2} - 49 y + 600 = 0

解答

x = 8, x = 8, x = 23, x = 23, y = 25 y = 24 y = 25 y = 24

求解步骤

[x^{2} - 31 x + 184 = 0 y^{2} - 49 y + 600 = 0]

解

x^{2} - 31 x + 184 = 0 : x = 8, x = 23

对于

y^{2} - 49 y + 600 = 0

，用

8

替代

x : y = 25, y = 24

对于

y^{2} - 49 y + 600 = 0

，用

23

替代

x : y = 25, y = 24

解

y^{2} - 49 y + 600 = 0 : y = 24, y = 25

对于

x^{2} - 31 x + 184 = 0

，用

24

替代

y : x = 23, x = 8

对于

x^{2} - 31 x + 184 = 0

，用

25

替代

y : x = 23, x = 8

将解代入原方程进行验证

因而，

x^{2} - 31 x + 184 = 0, y^{2} - 49 y + 600 = 0

最后的解是

x = 8, x = 8, x = 23, x = 23, y = 25 y = 24 y = 25 y = 24

作图

流行的例子

x^2+y^2=2,5y-x+7=0

x^{2} + y^{2} = 2, 5 y - x + 7 = 0

x+y=3,¬ 65x+119y=249

x + y = 3, \neg 65 x + 119 y = 249

5x-6y=20,4x-3 y/4 x-3y=23

5 x - 6 y = 20, 4 x - 3 \frac{y}{4} x - 3 y = 23

x + y = 8, x y = \frac{25}{9}

p=-20,0+1/4 q^2p=1000-1/2 q^2

p = - 20, 0 + \frac{1}{4} q^{2} p = 1000 - \frac{1}{2} q^{2}