X^2-3x-4/5x^2-80

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Solution for X^2-3x-4/5x^2-80 equation: 


x in (-oo:+oo)

t_1 = X^2-80

t_1-4/5*x^2-3*x = 0

t_1-4/5*x^2-3*x = 0

DELTA = (-3)^2-(-4/5*4*t_1)

DELTA = 16/5*t_1+9

16/5*t_1+9 = 0

16/5*t_1+9 = 0 // - 9

16/5*t_1 = -9 // : 16/5

t_1 = -9/16/5

t_1 = -45/16

DELTA = 0  <=>  t_2 = -45/16

x = 3/(-4/5*2) i t_1 = -45/16

x = -15/8 i t_1 = -45/16

( x = ((16/5*t_1+9)^(1/2)+3)/(-4/5*2) or x = (3-(16/5*t_1+9)^(1/2))/(-4/5*2) ) i t_1 > -45/16

( x = -5/8*((16/5*t_1+9)^(1/2)+3) or x = -5/8*(3-(16/5*t_1+9)^(1/2)) ) i t_1 > -45/16

t_1+45/16 > 0

t_1+45/16 > 0 // - 45/16

t_1 > -45/16

x in { -15/8, -5/8*((16/5*(X^2-80)+9)^(1/2)+3), -5/8*(3-(16/5*(X^2-80)+9)^(1/2)) }

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