4x^(2/3)+15x^(1/3)+9=0

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Solution for 4x^(2/3)+15x^(1/3)+9=0 equation:


x in (-oo:+oo)

4*x^(2/3)+15*x^(1/3)+9 = 0

t_1 = x^(1/3)

4*t_1^2+15*t_1^1+9 = 0

4*t_1^2+15*t_1+9 = 0

DELTA = 15^2-(4*4*9)

DELTA = 81

DELTA > 0

t_1 = (81^(1/2)-15)/(2*4) or t_1 = (-81^(1/2)-15)/(2*4)

t_1 = -3/4 or t_1 = -3

t_1 = -3

x^(1/3)+3 = 0

1*x^(1/3) = -3 // : 1

x^(1/3) = -3

( -3 < 0 i 1/3 in (0:1) ) => x naleu017Cy do O

t_1 = -3/4

x^(1/3)+3/4 = 0

1*x^(1/3) = -3/4 // : 1

x^(1/3) = -3/4

( -3/4 < 0 i 1/3 in (0:1) ) => x naleu017Cy do O

x belongs to the empty set

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