If it's not what You are looking for type in the equation solver your own equation and let us solve it.
D( x )
x < 0
x < 0
x in <0:+oo)
4*x^(5/2)-(5*x^(3/2))-(9*x^(1/2)) = 0
4*x^(5/2)-5*x^(3/2)-9*x^(1/2) = 0
t_1 = x^(1/2)
4*t_1^5-5*t_1^3-9*t_1^1 = 0
4*t_1^5-5*t_1^3-9*t_1 = 0
t_1*(4*t_1^4-5*t_1^2-9) = 0
4*t_1^4-5*t_1^2-9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
t_1 = 1
4*t_1^4-5*t_1^2-9 = -10
1
-1
t_1 = -1
4*t_1^4-5*t_1^2-9 = -10
-1
3
t_1 = 3
4*t_1^4-5*t_1^2-9 = 270
3
-3
t_1 = -3
4*t_1^4-5*t_1^2-9 = 270
-3
9
t_1 = 9
4*t_1^4-5*t_1^2-9 = 25830
9
-9
t_1 = -9
4*t_1^4-5*t_1^2-9 = 25830
-9
{ 1/2, -1/2, 1/4, -1/4, -1/2, 1/2, -1/4, 1/4, 3/2, -3/2, 3/4, -3/4, -3/2, 3/2, -3/4, 3/4, 9/2, -9/2, 9/4, -9/4, -9/2, 9/2, -9/4, 9/4 }
1/2
t_1
1/2
4*t_1^4-5*t_1^2-9 = -10
1/2
-1/2
t_1
-1/2
4*t_1^4-5*t_1^2-9 = -10
-1/2
1/4
t_1
1/4
4*t_1^4-5*t_1^2-9 = -9.296875
1/4
-1/4
t_1
-1/4
4*t_1^4-5*t_1^2-9 = -9.296875
-1/4
-1/2
t_1
-1/2
4*t_1^4-5*t_1^2-9 = -10
-1/2
1/2
t_1
1/2
4*t_1^4-5*t_1^2-9 = -10
1/2
-1/4
t_1
-1/4
4*t_1^4-5*t_1^2-9 = -9.296875
-1/4
1/4
t_1
1/4
4*t_1^4-5*t_1^2-9 = -9.296875
1/4
3/2
t_1
3/2
4*t_1^4-5*t_1^2-9 = 0
3/2
t_1-3/2
4*t_1^3+6*t_1^2+4*t_1+6
4*t_1^4-5*t_1^2-9
t_1-3/2
6*t_1^3-4*t_1^4
6*t_1^3-5*t_1^2-9
9*t_1^2-6*t_1^3
4*t_1^2-9
6*t_1-4*t_1^2
6*t_1-9
9-6*t_1
0
4*t_1^3+6*t_1^2+4*t_1+6 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6 }
1
t_1 = 1
4*t_1^3+6*t_1^2+4*t_1+6 = 20
1
-1
t_1 = -1
4*t_1^3+6*t_1^2+4*t_1+6 = 4
-1
2
t_1 = 2
4*t_1^3+6*t_1^2+4*t_1+6 = 70
2
-2
t_1 = -2
4*t_1^3+6*t_1^2+4*t_1+6 = -10
-2
3
t_1 = 3
4*t_1^3+6*t_1^2+4*t_1+6 = 180
3
-3
t_1 = -3
4*t_1^3+6*t_1^2+4*t_1+6 = -60
-3
6
t_1 = 6
4*t_1^3+6*t_1^2+4*t_1+6 = 1110
6
-6
t_1 = -6
4*t_1^3+6*t_1^2+4*t_1+6 = -666
-6
{ 1/2, -1/2, 1/4, -1/4, -1/2, 1/2, -1/4, 1/4, 2/2, -2/2, 2/4, -2/4, -2/2, 2/2, -2/4, 2/4, 3/2, -3/2, 3/4, -3/4, -3/2, 3/2, -3/4, 3/4, 6/2, -6/2, 6/4, -6/4, -6/2, 6/2, -6/4, 6/4 }
1/2
t_1
1/2
4*t_1^3+6*t_1^2+4*t_1+6 = 10
1/2
-1/2
t_1
-1/2
4*t_1^3+6*t_1^2+4*t_1+6 = 5
-1/2
1/4
t_1
1/4
4*t_1^3+6*t_1^2+4*t_1+6 = 7.4375
1/4
-1/4
t_1
-1/4
4*t_1^3+6*t_1^2+4*t_1+6 = 5.3125
-1/4
-1/2
t_1
-1/2
4*t_1^3+6*t_1^2+4*t_1+6 = 5
-1/2
1/2
t_1
1/2
4*t_1^3+6*t_1^2+4*t_1+6 = 10
1/2
-1/4
t_1
-1/4
4*t_1^3+6*t_1^2+4*t_1+6 = 5.3125
-1/4
1/4
t_1
1/4
4*t_1^3+6*t_1^2+4*t_1+6 = 7.4375
1/4
2/2
t_1
2/2
4*t_1^3+6*t_1^2+4*t_1+6 = 20
2/2
-2/2
t_1
-2/2
4*t_1^3+6*t_1^2+4*t_1+6 = 4
-2/2
2/4
t_1
2/4
4*t_1^3+6*t_1^2+4*t_1+6 = 10
2/4
-2/4
t_1
-2/4
4*t_1^3+6*t_1^2+4*t_1+6 = 5
-2/4
-2/2
t_1
-2/2
4*t_1^3+6*t_1^2+4*t_1+6 = 4
-2/2
2/2
t_1
2/2
4*t_1^3+6*t_1^2+4*t_1+6 = 20
2/2
-2/4
t_1
-2/4
4*t_1^3+6*t_1^2+4*t_1+6 = 5
-2/4
2/4
t_1
2/4
4*t_1^3+6*t_1^2+4*t_1+6 = 10
2/4
3/2
t_1
3/2
4*t_1^3+6*t_1^2+4*t_1+6 = 39
3/2
-3/2
t_1
-3/2
4*t_1^3+6*t_1^2+4*t_1+6 = 0
-3/2
t_1+3/2
4*t_1^2+4
4*t_1^3+6*t_1^2+4*t_1+6
t_1+3/2
-4*t_1^3-6*t_1^2
4*t_1+6
-4*t_1-6
0
4*t_1^2+4 = 0
DELTA = 0^2-(4*4*4)
DELTA = -64
DELTA < 0
t_1 in { 3/2, -3/2}
t_1 = 0
t_1 = 0
t_1 = 3/2
x^(1/2)-(3/2) = 0
x^(1/2)-3/2 = 0
1*x^(1/2) = 3/2 // : 1
x^(1/2) = 3/2
x^(1/2) = 3/2 // ^ 2
x = 9/4
t_1 = -3/2
x^(1/2)-(-3/2) = 0
x^(1/2)+3/2 = 0
1*x^(1/2) = -3/2 // : 1
x^(1/2) = -3/2
( -3/2 < 0 i 1/2 in (0:1) ) => x należy do O
t_1 = 0
x^(1/2)+0 = 0
x^(1/2) = 0
1*x^(1/2) = 0 // : 1
x^(1/2) = 0
x = 0
x in { 9/4, 0 }
| U-(-3)=-21 | | 10x+y=5x+400 | | .1-.01(x+2)=-.02(2-x) | | 3(2x-10)=60 | | 264=(2x-2)(x) | | 7=q+(-11) | | x^3+6x^2+12x+0=0 | | 49=49d | | 6n^2=10n-4 | | 3y-2(y+4)=-1 | | 3+6(x-2)=11-5(x-1) | | 5a+2=3a-1 | | 5b+2(b+17)+(2b-5)=50 | | 3and1/2r=28 | | 5=10(-1)+5.5 | | 5=5(-1)+6.5 | | X+0.054=1.856 | | 2n+15=7 | | 5=f+(-19) | | 5=3(-1)+7.5 | | 1/4(8-1/2) | | cos(x-45)=0 | | V/5=7/13 | | 5=2(-1)+8.5 | | 28(j+1)=896 | | -16(x+-5)=4(x+5) | | 3x-13/x | | 52+14v=374 | | 7m+3+-6+-4m=-9 | | t=ln(4x) | | Log[4](5m+9)=3 | | -x^2=-4+3x |