X^2-8x-9/5x^2-45x

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Solution for X^2-8x-9/5x^2-45x equation: 


x in (-oo:+oo)

t_1 = X^2

t_1-9/5*x^2-8*x-45*x = 0

t_1-9/5*x^2-53*x = 0

DELTA = (-53)^2-(-9/5*4*t_1)

DELTA = 36/5*t_1+2809

36/5*t_1+2809 = 0

36/5*t_1+2809 = 0 // - 2809

36/5*t_1 = -2809 // : 36/5

t_1 = -2809/36/5

t_1 = -14045/36

DELTA = 0  <=>  t_2 = -14045/36

x = 53/(-9/5*2) i t_1 = -14045/36

x = -265/18 i t_1 = -14045/36

( x = ((36/5*t_1+2809)^(1/2)+53)/(-9/5*2) or x = (53-(36/5*t_1+2809)^(1/2))/(-9/5*2) ) i t_1 > -14045/36

( x = -5/18*((36/5*t_1+2809)^(1/2)+53) or x = -5/18*(53-(36/5*t_1+2809)^(1/2)) ) i t_1 > -14045/36

t_1+14045/36 > 0

t_1+14045/36 > 0 // - 14045/36

t_1 > -14045/36

x in { -265/18, -5/18*((36/5*X^2+2809)^(1/2)+53), -5/18*(53-(36/5*X^2+2809)^(1/2)) }

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