2x^4/5-49x^2/10

Solution for 2x^4/5-49x^2/10 equation:

x in (-oo:+oo)

(2*x^4)/5-((49*x^2)/10) = 0

(2*x^4)/5+(-49/10)*x^2 = 0

2/5*x^4-49/10*x^2 = 0

t_1 = x^2

2/5*t_1^2-49/10*t_1^1 = 0

2/5*t_1^2-49/10*t_1 = 0

DELTA = (-49/10)^2-(0*2/5*4)

DELTA = 2401/100

DELTA > 0

t_1 = ((2401/100)^(1/2)+49/10)/(2/5*2) or t_1 = (49/10-(2401/100)^(1/2))/(2/5*2)

t_1 = 49/4 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 = 49/4

x^2-49/4 = 0

1*x^2 = 49/4 // : 1

x^2 = 49/4

x^2 = 49/4 // ^ 1/2

abs(x) = 7/2

x = 7/2 or x = -7/2

x in { 0, 7/2, -7/2 }