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

Simple and best practice solution for 2x^(1/2)-6x^(1/4)+3=0 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 2x^(1/2)-6x^(1/4)+3=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

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

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

t_1 = x^(1/4)

2*t_1^2-6*t_1^1+3 = 0

2*t_1^2-6*t_1+3 = 0

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

DELTA = 12

DELTA > 0

t_1 = (12^(1/2)+6)/(2*2) or t_1 = (6-12^(1/2))/(2*2)

t_1 = (2*3^(1/2)+6)/4 or t_1 = (6-2*3^(1/2))/4

t_1 = (6-2*3^(1/2))/4

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

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

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

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

x = ((6-2*3^(1/2))^4)/256

t_1 = (2*3^(1/2)+6)/4

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

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

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

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

x = ((2*3^(1/2)+6)^4)/256

x in { ((6-2*3^(1/2))^4)/256, ((2*3^(1/2)+6)^4)/256 }

See similar equations:

| (x-2)/5=(10-x)/8 | | .1(x+70)+.3x=11 | | 100=9/5c+32 | | 4x+3y+5=90 | | 2/3x-27=9 | | 4y-6-7y+4= | | -25(10-x)=x+250 | | 5-2x=5-2x | | 1.50x=20 | | 3x+x+x+x=22 | | -3(r+4)= | | y=1.5x+100 | | y=x-vb | | 7w+w+4w= | | -5r-5r=r-11 | | (2x-1)(3x-4)= | | x+x+2x+x=25 | | 3a+8a-3=0 | | 0.24-0.03(x+3)=-0.03(3-x) | | (5y/y-5)-(25/y+5)=250/(y^2)-25 | | 3b+7=4+3b+2 | | 15=5a-5 | | 6x^2-17u-3=0 | | 4x+3=5x+12 | | 0=-5/2x-4 | | 3/4(8w-12) | | y=-5/2x-4 | | 13-2(x+3)=3(1-x) | | a^2-a=21+3a | | 3/4k-6=7 | | 2.10+0.80n=11.70 | | -4(-6b+3)=-30+6b |

Equations solver categories