3x^(1/2)-7x^(1/4)+3=0

Simple and best practice solution for 3x^(1/2)-7x^(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 3x^(1/2)-7x^(1/4)+3=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

3*x^(1/2)-(7*x^(1/4))+3 = 0

3*x^(1/2)-7*x^(1/4)+3 = 0

t_1 = x^(1/4)

3*t_1^2-7*t_1^1+3 = 0

3*t_1^2-7*t_1+3 = 0

DELTA = (-7)^2-(3*3*4)

DELTA = 13

DELTA > 0

t_1 = (13^(1/2)+7)/(2*3) or t_1 = (7-13^(1/2))/(2*3)

t_1 = (13^(1/2)+7)/6 or t_1 = (7-13^(1/2))/6

t_1 = (7-13^(1/2))/6

x^(1/4)-((7-13^(1/2))/6) = 0

1*x^(1/4) = (7-13^(1/2))/6 // : 1

x^(1/4) = (7-13^(1/2))/6

x^(1/4) = (7-13^(1/2))/6 // ^ 4

x = ((7-13^(1/2))^4)/1296

t_1 = (13^(1/2)+7)/6

x^(1/4)-((13^(1/2)+7)/6) = 0

1*x^(1/4) = (13^(1/2)+7)/6 // : 1

x^(1/4) = (13^(1/2)+7)/6

x^(1/4) = (13^(1/2)+7)/6 // ^ 4

x = ((13^(1/2)+7)^4)/1296

x in { ((7-13^(1/2))^4)/1296, ((13^(1/2)+7)^4)/1296 }

See similar equations:

| 7.50/37.50=x | | -63z^2-19z+30=0 | | (x-5)(x-5)=30 | | 5a-34=135 | | (x^2+12x)/8 | | 2(9x+7)+(x+3)= | | -17u=c | | 5x+6x=55 | | 8+6=x-4 | | 5x+6x=50 | | 5-11=-2z | | Y=(24-3x)/3 | | (x+2)(x+2)=14 | | 2v-18=-2(v-9) | | 4(a-7)+12=2 | | -3x-4y=-1 | | 1/8(8y+16)-8=-1/4(12y-24) | | 8-3*c=31 | | 14+4(w-6)=6-2w | | 18-16=x/4 | | -2x-4y= | | 2(w-2)-6w=8 | | 5(5x-2)+5=-2 | | 4x^2+28x+9=0 | | 22x-1-15=9x-4+3x | | -174+(-18)= | | Z^12=9 | | x*7.50=37.50 | | -174+18= | | -4.9x^2+28.7x+4.2=0 | | -9+2=-12 | | -3x+2x^7-3x+8x^7+7= |

Equations solver categories