Question

x²+3√X=6，解方程，

x²+3√X=6解方程..求解

Answer 1

用图像法解之。x≈1.5179.

画出f(x)=x²+3√X-6的图像，其与x轴交点的横坐标即为方程的解。

请看下面，点击放大：

Answer 2

x²+3√X=6
3√X=6-x²
9x=36-12x²+x⁴
x⁴-12x²-9x+36=0
只有两个实数解
x1=1.51787344607241......
x2=3.39527320561269......

Answer 3

解析：
x²+3√x=6
本质上是一元四次方程

Answer 4

7(2x-1)-3(4x-1)=4(3x 2)-1; (5y 1) (1-y)= (9y 1) (1-3y); 20% (1-20%)(320-x)=320×40% 2(x-2) 2=x 1 2(x-2)-3(4x-1)=9(1-x) x/3 -5 = (5-x)/2 2(x 1) /3=5(x 1) /6 -1 (1/5)x 1 =(2x 1)/4 (5-2)/2 - (4 x)/3 =1 x/3 -1 = (1-x)/2 (x-2)/2 - (3x-2)/4 =-1 11x 64-2x=100-9x 15-(8-5x)=7x (4-3x) 3(x-7)-2[9-4(2-x)]=22 3/2[2/3(1/4x-1)-2]-x=2 2(x-2)-3(4x-1)=9(1-x) 11x 64-2x=100-9x 15-(8-5x)=7x (4-3x) 3(x-7)-2[9-4(2-x)]=22 3/2[2/3(1/4x-1)-2]-x=2 2(x-2) 2=x 1 7(2x-1)-3(4x-1)=4(3x 2)-1(5y 1) (1-y)= (9y 1) (1-3y)[ (- 2)-4 ]=x 220% (1-20%)(320-x)=320×40%2(x-2) 2=x 1 6。
    2(x-2)-3(4x-1)=9(1-x) 7。11x 64-2x=100-9x 15-(8-5x)=7x (4-3x) 3(x-7)-2[9-4(2-x)]=22 3/2[2/3(1/4x-1)-2]-x=25x 1-2x=3x-23y-4=2y 187X*13=57Z/93=41 15X 863-65X=54 58Y*55=274892（x 2） 4=92(x 4)=103(x-5)=184x 8=2(x-1)3(x 3)=9 x6(x/2 1)=129(x 6)=632 x=2(x-1/2)8x 3(1-x)=-27 x-2(x-1)=1x/3 -5 = (5-x)/2 2(x 1) /3=5(x 1) /6 -1 (1/5)x 1 =(2x 1)/4 (5-2)/2 - (4 x)/3 =1 15x-8(5x 1。

Answer 5

（1）60%x-35%x=125 0.25x=125 0.25x÷0.25=125÷0.25 x=500； （2）8x+42=178 8x+42-42=178-42 8x=136 8x÷8=136÷8 x=17； （3）x+1 5 =240 x+1 5 -1 5 =240-1 5 x=239.8．