7/a+8+7/a2-64

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Solution for 7/a+8+7/a2-64 equation:


D( a )

a^2 = 0

a = 0

a^2 = 0

a^2 = 0

1*a^2 = 0 // : 1

a^2 = 0

a = 0

a = 0

a = 0

a in (-oo:0) U (0:+oo)

7/a+7/(a^2)-64+8 = 0

7*a^-1+7*a^-2-56 = 0

t_1 = a^-1

7*t_1^2+7*t_1^1-56 = 0

7*t_1^2+7*t_1-56 = 0

DELTA = 7^2-(-56*4*7)

DELTA = 1617

DELTA > 0

t_1 = (1617^(1/2)-7)/(2*7) or t_1 = (-1617^(1/2)-7)/(2*7)

t_1 = (7*33^(1/2)-7)/14 or t_1 = (-7*33^(1/2)-7)/14

t_1 = (-7*33^(1/2)-7)/14

a^-1-((-7*33^(1/2)-7)/14) = 0

1*a^-1 = (-7*33^(1/2)-7)/14 // : 1

a^-1 = (-7*33^(1/2)-7)/14

-1 < 0

1/(a^1) = (-7*33^(1/2)-7)/14 // * a^1

1 = ((-7*33^(1/2)-7)/14)*a^1 // : (-7*33^(1/2)-7)/14

14*(-7*33^(1/2)-7)^-1 = a^1

a = 14*(-7*33^(1/2)-7)^-1

t_1 = (7*33^(1/2)-7)/14

a^-1-((7*33^(1/2)-7)/14) = 0

1*a^-1 = (7*33^(1/2)-7)/14 // : 1

a^-1 = (7*33^(1/2)-7)/14

-1 < 0

1/(a^1) = (7*33^(1/2)-7)/14 // * a^1

1 = ((7*33^(1/2)-7)/14)*a^1 // : (7*33^(1/2)-7)/14

14*(7*33^(1/2)-7)^-1 = a^1

a = 14*(7*33^(1/2)-7)^-1

a in { 14*(-7*33^(1/2)-7)^-1, 14*(7*33^(1/2)-7)^-1 }

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