2y^(1/2)-3y^(1/4)=1

Simple and best practice solution for 2y^(1/2)-3y^(1/4)=1 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 2y^(1/2)-3y^(1/4)=1 equation: 


D( y )

y < 0

y < 0

y in <0:+oo)

2*y^(1/2)-(3*y^(1/4)) = 1 // - 1

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

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

t_1 = y^(1/4)

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

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

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

DELTA = 17

DELTA > 0

t_1 = (17^(1/2)+3)/(2*2) or t_1 = (3-17^(1/2))/(2*2)

t_1 = (17^(1/2)+3)/4 or t_1 = (3-17^(1/2))/4

t_1 = (3-17^(1/2))/4

y^(1/4)-((3-17^(1/2))/4) = 0

1*y^(1/4) = (3-17^(1/2))/4 // : 1

y^(1/4) = (3-17^(1/2))/4

( (3-17^(1/2))/4 < 0 i 1/4 in (0:1) ) => y należy do O

t_1 = (17^(1/2)+3)/4

y^(1/4)-((17^(1/2)+3)/4) = 0

1*y^(1/4) = (17^(1/2)+3)/4 // : 1

y^(1/4) = (17^(1/2)+3)/4

y^(1/4) = (17^(1/2)+3)/4 // ^ 4

y = ((17^(1/2)+3)^4)/256

y = ((17^(1/2)+3)^4)/256

See similar equations:

| 7+x+2=9+4 | | 5v^2+11v+6=0 | | -7mr(12-7r+5)= | | -73=15+8x | | 5x+19=4x | | 1x+3y=13 | | 16=12-4y | | 3x^2-9=-117 | | V=RYZ | | 4(3)-24y=12 | | 10(x-20)=-20 | | 6x-42+x=15-9x+5 | | x/4-2x/3=5 | | -5(0.1x+0.4)-1.3=-0.3 | | 50x+10=20x+30 | | 5x-4x=-8 | | 4(5+x)=3(4x-1)-41 | | 16x+72=56 | | 36=(5c+4)-(2c+4) | | 28=6-(2x-2) | | 9x^2+31x-40=0 | | 6-8a=4 | | x-9x+10+11=12x+-6x+1 | | 5x+6=8x-4 | | -35=-6b+2 | | 2(-3y+7)+3y=11 | | 15-4x=-8x+15 | | p=2qr-2qs | | 2x+4.4=6.6 | | -4n+7+6n=-7n-2+4n-5 | | Y=pi/(3x)^2 | | 80g*1/2t=r |

Equations solver categories