(3x)^(1/2)+(x)^(1/4)=6

Simple and best practice solution for (3x)^(1/2)+(x)^(1/4)=6 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (3x)^(1/2)+(x)^(1/4)=6 equation: 


D( x )

x < 0

3*x < 0

x < 0

3*x < 0

3*x < 0

3*x+0 < 0 // - 0

3*x < 0 // : 3

x < 0/3

x < 0

x in <0:+oo)

(3*x)^(1/2)+x^(1/4) = 6 // - 6

(3*x)^(1/2)+x^(1/4)-6 = 0

3^(1/2)*x^(1/2)+x^(1/4)-6 = 0

t_1 = x^(1/4)

3^(1/2)*t_1^2+1*t_1^1-6 = 0

3^(1/2)*t_1^2+t_1-6 = 0

DELTA = 1^2-(-6*4*3^(1/2))

DELTA = 24*3^(1/2)+1

DELTA = 42.56921944

DELTA > 0

t_1 = ((24*3^(1/2)+1)^(1/2)-1)/(2*3^(1/2)) or t_1 = (-(24*3^(1/2)+1)^(1/2)-1)/(2*3^(1/2))

t_1 = ((24*3^(1/2)+1)^(1/2)-1)/(2*3^(1/2)) or t_1 = (-1/2)*3^(-1/2)*((24*3^(1/2)+1)^(1/2)+1)

t_1 = (-1/2)*3^(-1/2)*((24*3^(1/2)+1)^(1/2)+1)

x^(1/4)-((-1/2)*3^(-1/2)*((24*3^(1/2)+1)^(1/2)+1)) = 0

x^(1/4)+(1/2)*((24*3^(1/2)+1)^(1/2)+1)*3^(-1/2) = 0

1*x^(1/4) = -(1/2*((24*3^(1/2)+1)^(1/2)+1)*3^(-1/2)) // : 1

x^(1/4) = -1/2*3^(-1/2)*((24*3^(1/2)+1)^(1/2)+1)

( -1/2*3^(-1/2)*((24*3^(1/2)+1)^(1/2)+1) < 0 i 1/4 in (0:1) ) => x naleu017Cy do O

t_1 = ((24*3^(1/2)+1)^(1/2)-1)/(2*3^(1/2))

x^(1/4)-(((24*3^(1/2)+1)^(1/2)-1)/(2*3^(1/2))) = 0

1*x^(1/4) = ((24*3^(1/2)+1)^(1/2)-1)/(2*3^(1/2)) // : 1

x^(1/4) = ((24*3^(1/2)+1)^(1/2)-1)/(2*3^(1/2))

x^(1/4) = ((24*3^(1/2)+1)^(1/2)-1)/(2*3^(1/2)) // ^ 4

x = (((24*3^(1/2)+1)^(1/2)-1)^4)/144

x = (((24*3^(1/2)+1)^(1/2)-1)^4)/144

See similar equations:

| 3(c-7)=2c-8 | | x+3.9=0.7 | | x+4.7=-4.7 | | x-14.7=4.7 | | 3y+10-y=5+y-7 | | y+2x-4=0 | | 3x+2=6x+2 | | 1/3*(5x+6)-1/2*(x+7)=2 | | (15x-25)=(4x+63) | | 15y^2-28y+12=0 | | 1/2=s-1/4 | | (12x-7)=(5x+28) | | 5+x^5+3x^3= | | 2x+85=7x+10 | | x-1/4=-5/16 | | 7x+10=180 | | 50x^2+5x-6=0 | | (2x+85)+(7x+10)=180 | | 9100=100x+6000 | | 3x+(-3x-4)=-4 | | 8x+5y=-40 | | 80=3t-13t | | 3y+4-y=4+y-1 | | C^4+7c^2= | | 4(y-1)=6y+6 | | y=12-2X | | -11+14= | | (k-2)/5=11j | | .5(x+3)=4 | | -81x^2-81x-8=0solve | | (3x/2)+(1/4)(x-3)=15 | | X=36*7/13/6/13 |

Equations solver categories