4x^2-81/x^2-36=0

Simple and best practice solution for 4x^2-81/x^2-36=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 4x^2-81/x^2-36=0 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

4*x^2-(81/(x^2))-36 = 0

4*x^2-81*x^-2-36 = 0

t_1 = x^2

4*t_1^1-81*t_1^-1-36 = 0

4*t_1^1-81*t_1^-1-36*t_1^0 = 0

(4*t_1^2-36*t_1^1-81*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(4*t_1^2-36*t_1^1-81*t_1^0) = 0

t_1^1

4*t_1^2-36*t_1-81 = 0

4*t_1^2-36*t_1-81 = 0

DELTA = (-36)^2-(-81*4*4)

DELTA = 2592

DELTA > 0

t_1 = (2592^(1/2)+36)/(2*4) or t_1 = (36-2592^(1/2))/(2*4)

t_1 = (36*2^(1/2)+36)/8 or t_1 = (36-36*2^(1/2))/8

t_1 in { (36-36*2^(1/2))/8, (36*2^(1/2)+36)/8} 

t_1 = (36-36*2^(1/2))/8

x^2-((36-36*2^(1/2))/8) = 0

1*x^2 = (36-36*2^(1/2))/8 // : 1

x^2 = (36-36*2^(1/2))/8

t_1 = (36*2^(1/2)+36)/8

x^2-((36*2^(1/2)+36)/8) = 0

1*x^2 = (36*2^(1/2)+36)/8 // : 1

x^2 = (36*2^(1/2)+36)/8

x^2 = (36*2^(1/2)+36)/8 // ^ 1/2

abs(x) = ((36*2^(1/2)+36)^(1/2))/(2*2^(1/2))

x = ((36*2^(1/2)+36)^(1/2))/(2*2^(1/2)) or x = -(((36*2^(1/2)+36)^(1/2))/(2*2^(1/2)))

x in { ((36*2^(1/2)+36)^(1/2))/(2*2^(1/2)), -(((36*2^(1/2)+36)^(1/2))/(2*2^(1/2))) }

See similar equations:

| 15g+89=27g-91 | | 4h+24=6h+0 | | -x/3-y=-2 | | (ab-9)(ab+8)= | | 2(2x+8)=5 | | 3=10-(1/10X) | | 2x+40y=8 | | 3=10-(1-10x) | | x/(x^2-36)-6/(x^2-36) | | 56.75(.09)+x=x(0.15) | | lgx=-2lgy+5 | | lgx=-3lgy+5 | | (7x+6)(3x^2+5x+1)= | | (Y-2)=5(x+3) | | (3xy-1)(4xy+2)= | | 4x^4-36x^2-81=0 | | 3x+5x+9x+12x=319 | | 96+x=.16(12+x) | | 15c+6-11c+14c= | | 20(0.1x)+0.06x=0.08x | | 8x-46=3x-16 | | 1/3(5-4*5) | | sqrt(-7u+65)=u-5 | | 2/3y-1/3=4/9y^2 | | 18(2/9u+1/3z)=15 | | .1x+20=.06x | | -96+100x=16(12+x) | | 5x+17=9x-17 | | 10=17sin(7x) | | 4/9y^2-2/3y+1/3=0 | | 6x-22=6x-22 | | 6tanx-2cotx=7 |

Equations solver categories