((2x^4)/7)-((9x^2)/14)

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Solution for ((2x^4)/7)-((9x^2)/14) equation: 


x in (-oo:+oo)

(2*x^4)/7-((9*x^2)/14) = 0

(2*x^4)/7+(-9/14)*x^2 = 0

2/7*x^4-9/14*x^2 = 0

t_1 = x^2

2/7*t_1^2-9/14*t_1^1 = 0

2/7*t_1^2-9/14*t_1 = 0

DELTA = (-9/14)^2-(0*2/7*4)

DELTA = 81/196

DELTA > 0

t_1 = ((81/196)^(1/2)+9/14)/(2/7*2) or t_1 = (9/14-(81/196)^(1/2))/(2/7*2)

t_1 = 9/4 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 = 9/4

x^2-9/4 = 0

1*x^2 = 9/4 // : 1

x^2 = 9/4

x^2 = 9/4 // ^ 1/2

abs(x) = 3/2

x = 3/2 or x = -3/2

x in { 0, 3/2, -3/2 }

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