4x^2-35-9/x^2=0

Solution for 4x^2-35-9/x^2=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-(9/(x^2))-35 = 0

4*x^2-9*x^-2-35 = 0

t_1 = x^2

4*t_1^1-9*t_1^-1-35 = 0

4*t_1^1-9*t_1^-1-35*t_1^0 = 0

(4*t_1^2-35*t_1^1-9*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(4*t_1^2-35*t_1^1-9*t_1^0) = 0

t_1^1

4*t_1^2-35*t_1-9 = 0

4*t_1^2-35*t_1-9 = 0

DELTA = (-35)^2-(-9*4*4)

DELTA = 1369

DELTA > 0

t_1 = (1369^(1/2)+35)/(2*4) or t_1 = (35-1369^(1/2))/(2*4)

t_1 = 9 or t_1 = -1/4

t_1 in { -1/4, 9} 

t_1 = -1/4

x^2+1/4 = 0

1*x^2 = -1/4 // : 1

x^2 = -1/4

t_1 = 9

x^2-9 = 0

1*x^2 = 9 // : 1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x in { 3, -3 }