8x^(2/3)-55x^(1/3)-7=0

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Solution for 8x^(2/3)-55x^(1/3)-7=0 equation: 


x in (-oo:+oo)

8*x^(2/3)-(55*x^(1/3))-7 = 0

8*x^(2/3)-55*x^(1/3)-7 = 0

t_1 = x^(1/3)

8*t_1^2-55*t_1^1-7 = 0

8*t_1^2-55*t_1-7 = 0

DELTA = (-55)^2-(-7*4*8)

DELTA = 3249

DELTA > 0

t_1 = (3249^(1/2)+55)/(2*8) or t_1 = (55-3249^(1/2))/(2*8)

t_1 = 7 or t_1 = -1/8

t_1 = -1/8

x^(1/3)+1/8 = 0

1*x^(1/3) = -1/8 // : 1

x^(1/3) = -1/8

( -1/8 < 0 i 1/3 in (0:1) ) => x należy do O

t_1 = 7

x^(1/3)-7 = 0

1*x^(1/3) = 7 // : 1

x^(1/3) = 7

x^(1/3) = 7 // ^ 3

x = 343

x = 343

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