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受欢迎的代数 >

x^2-x-sqrt(3x)+sqrt(3)=0,y^2-3y+2=0

解答

x^{2} - x - 3 x + 3 = 0, y^{2} - 3 y + 2 = 0

解答

x = 1, x = 0.89100 \dots, x = 1, x = 0.89100 \dots, y = 1 y = 1 y = 2 y = 2

求解步骤

[x^{2} - x - 3 x + 3 = 0 y^{2} - 3 y + 2 = 0]

解

y^{2} - 3 y + 2 = 0 : y = 1, y = 2

对于

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

，用

1

替代

y : x = 1, x \approx 0.89100 \dots

对于

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

，用

2

替代

y : x = 1, x \approx 0.89100 \dots

将解代入原方程进行验证

因而，

x^{2} - x - 3 x + 3 = 0, y^{2} - 3 y + 2 = 0

最后的解是

x = 1, x = 0.89100 \dots, x = 1, x = 0.89100 \dots, y = 1 y = 1 y = 2 y = 2

作图

流行的例子

t^{2} y = 4 t, x = 2

6^b=84^c,14^a=3

6^{b} = 8 4^{c}, 1 4^{a} = 3

a+b=4,a*b=1a^3+b^3

a + b = 4, a \cdot b = 1 a^{3} + b^{3}

3 x - 2 y = 6, x y = 12

-x-2y=3,x+2y=-3

- x - 2 y = 3, x + 2 y = - 3