((x^(1/2))+(x^(-1/2)))=9/2

Simple and best practice solution for ((x^(1/2))+(x^(-1/2)))=9/2 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 ((x^(1/2))+(x^(-1/2)))=9/2 equation: 


D( x )

x < 0

x = 0

x < 0

x = 0

x = 0

x in (0:+oo)

x^(1/2)+x^(-1/2) = 9/2 // - 9/2

x^(1/2)+x^(-1/2)-(9/2) = 0

x^(1/2)+x^(-1/2)-9/2 = 0

t_1 = x^(1/2)

1*t_1^1+1*t_1^-1-9/2 = 0

1*t_1^1+1*t_1^-1-9/2*t_1^0 = 0

(1*t_1^2-9/2*t_1^1+1*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(1*t_1^2-9/2*t_1^1+1*t_1^0) = 0

t_1^1

t_1^2+(-9/2)*t_1+1 = 0

t_1^2+(-9/2)*t_1+1 = 0

DELTA = (-9/2)^2-(1*1*4)

DELTA = 65/4

DELTA > 0

t_1 = ((65/4)^(1/2)-(-9/2))/(1*2) or t_1 = (-(-9/2)-(65/4)^(1/2))/(1*2)

t_1 = ((65/4)^(1/2)+9/2)/2 or t_1 = (9/2-(65/4)^(1/2))/2

t_1 in { (9/2-(65/4)^(1/2))/2, ((65/4)^(1/2)+9/2)/2} 

t_1 = (9/2-(65/4)^(1/2))/2

x^(1/2)-((9/2-(65/4)^(1/2))/2) = 0

1*x^(1/2) = (9/2-(65/4)^(1/2))/2 // : 1

x^(1/2) = (9/2-(65/4)^(1/2))/2

x^(1/2) = (9/2-(65/4)^(1/2))/2 // ^ 2

x = ((9/2-(65/4)^(1/2))^2)/4

t_1 = ((65/4)^(1/2)+9/2)/2

x^(1/2)-(((65/4)^(1/2)+9/2)/2) = 0

1*x^(1/2) = ((65/4)^(1/2)+9/2)/2 // : 1

x^(1/2) = ((65/4)^(1/2)+9/2)/2

x^(1/2) = ((65/4)^(1/2)+9/2)/2 // ^ 2

x = (((65/4)^(1/2)+9/2)^2)/4

x in { ((9/2-(65/4)^(1/2))^2)/4, (((65/4)^(1/2)+9/2)^2)/4 }

See similar equations:

| x*3-4*x^2+7*x-8=0 | | (2/(x+4))+(4/(x-2))=((24)/((x+4)*(x-2))) | | 5(4n-1)-3(2n+3)= | | 5+3y=-4 | | x/4.3+7.2=11.2 | | 3/4x-9+5/8x=13 | | 7x-4=4x-4 | | 5+y=2 | | 5/x=-3 | | 14+21/7 | | (16x)(-x^3)= | | 5n-4n^2-3=0 | | (1/(7x+28))=(3/(x+4))-(4/7) | | w/-12=-15 | | x(x-5)(x-3)=0 | | (5/17x)=25 | | 16/1/4 | | ((4x)/(x+2))=2-((8)/(x+2)) | | x+11/10=-4/5 | | 4k+4=-2k-8 | | -15=5h+0.4(40-3h) | | -(4y+3)-(-3y-4)=-4 | | -v+1=+8v | | 2x-2+x+8= | | 17/31*31= | | ((x-2)/(2x))+1=((x+2)/x) | | (X-3)/2=(8/9) | | 1/4x-1=15 | | x-20=-47 | | 1/4m+3=8 | | x-20=-27 | | (x+4)(2)=20 |

Equations solver categories