X^2+5x-36/2x^2+17x-9

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Solution for X^2+5x-36/2x^2+17x-9 equation:


x in (-oo:+oo)

t_1 = X^2-9

t_1-18*x^2+5*x+17*x = 0

t_1-18*x^2+22*x = 0

DELTA = 22^2-(-18*4*t_1)

DELTA = 72*t_1+484

72*t_1+484 = 0

72*t_1+484 = 0 // - 484

72*t_1 = -484 // : 72

t_1 = -484/72

t_1 = -121/18

DELTA = 0 <=> t_2 = -121/18

x = -22/(-18*2) i t_1 = -121/18

x = 11/18 i t_1 = -121/18

( x = ((72*t_1+484)^(1/2)-22)/(-18*2) or x = (-(72*t_1+484)^(1/2)-22)/(-18*2) ) i t_1 > -121/18

( x = ((72*t_1+484)^(1/2)-22)/(-36) or x = ((72*t_1+484)^(1/2)+22)/36 ) i t_1 > -121/18

t_1+121/18 > 0

t_1+121/18 > 0 // - 121/18

t_1 > -121/18

x in { 11/18, ((72*(X^2-9)+484)^(1/2)-22)/(-36), ((72*(X^2-9)+484)^(1/2)+22)/36 }

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