5x^(3/2)-3x^(3/4)=2

Simple and best practice solution for 5x^(3/2)-3x^(3/4)=2 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 5x^(3/2)-3x^(3/4)=2 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

5*x^(3/2)-(3*x^(3/4)) = 2 // - 2

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

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

t_1 = x^(3/4)

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

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

DELTA = (-3)^2-(-2*4*5)

DELTA = 49

DELTA > 0

t_1 = (49^(1/2)+3)/(2*5) or t_1 = (3-49^(1/2))/(2*5)

t_1 = 1 or t_1 = -2/5

t_1 = -2/5

x^(3/4)+2/5 = 0

1*x^(3/4) = -2/5 // : 1

x^(3/4) = -2/5

( -2/5 < 0 i 3/4 in (0:1) ) => x należy do O

t_1 = 1

x^(3/4)-1 = 0

1*x^(3/4) = 1 // : 1

x^(3/4) = 1

x^(3/4) = 1 // ^ 4

x^3 = 1 // ^ 1/3

x = 1

x = 1

See similar equations:

| 3x-2=10x-33 | | m=17+-1n | | -9+4x-5x=x+7 | | X^2+5x=5x+20 | | 5m-8=13-8+m+3 | | Xy+w=9forx | | X^2+5x=5x-20 | | Y=4sin+1 | | -3.3x=28.71 | | 4x/y-16=-19 | | 5x+2y-2x-4y=0 | | -8+6n+5n=6n-3 | | z^2+3*iz+4=0 | | Y-10=0(X-6) | | 2x^2-16x-35=0 | | 10+7-8k+7k=6k-1-3 | | 8x+-1y=13 | | kx^2-2x+1=0 | | -5-2b-7b=-6b-2b | | k^2-2x+1=0 | | x=-1.3-2.7 | | -6r=8r+2r | | 22-2x+5(x-2)=x-4 | | 100000=(2000*1250)/M | | -4+1=-3(2y+3) | | 2w-13w=32 | | 5x-8x+10=22 | | m+n+(n+1)=30 | | h(t)=-16t^2+168t+4 | | 9x^2-10x-5=0 | | X^2+y^2+5x-4y-10=0 | | z=10x-6 |

Equations solver categories