25x^4-60x^2-25x/25x

Solution for 25x^4-60x^2-25x/25x equation:

x in (-oo:+oo)

25*x^4-(60*x^2)-(((25*x)/25)*x) = 0

25*x^4-60*x^2-x^2 = 0

25*x^4-61*x^2 = 0

t_1 = x^2

25*t_1^2-61*t_1^1 = 0

25*t_1^2-61*t_1 = 0

DELTA = (-61)^2-(0*4*25)

DELTA = 3721

DELTA > 0

t_1 = (3721^(1/2)+61)/(2*25) or t_1 = (61-3721^(1/2))/(2*25)

t_1 = 61/25 or t_1 = 0

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

t_1 = 61/25

x^2-61/25 = 0

1*x^2 = 61/25 // : 1

x^2 = 61/25

x^2 = 61/25 // ^ 1/2

abs(x) = (61/25)^(1/2)

x = (61/25)^(1/2) or x = -(61/25)^(1/2)

x in { 0, (61/25)^(1/2), -(61/25)^(1/2) }