Y=(3-4x)/8x-1

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Solution for Y=(3-4x)/8x-1 equation:


x in (-oo:+oo)

Y = x*((3-(4*x))/8)-1 // - x*((3-(4*x))/8)-1

Y-(x*((3-(4*x))/8))+1 = 0

Y-(x*((3-4*x)/8))+1 = 0

(-1*x*(3-4*x))/8+Y+1 = 0

(-1*x*(3-4*x))/8+(8*Y)/8+(1*8)/8 = 0

8*Y-1*x*(3-4*x)+1*8 = 0

8*Y+4*x^2-3*x+8 = 0

(8*Y+4*x^2-3*x+8)/8 = 0

(8*Y+4*x^2-3*x+8)/8 = 0 // * 8

8*Y+4*x^2-3*x+8 = 0

8*Y+4*x^2-3*x+8 = 0

DELTA = (-3)^2-(4*4*(8*Y+8))

DELTA = 9-16*(8*Y+8)

9-16*(8*Y+8) = 0

9-16*(8*Y+8) = 0

-128*Y-119 = 0

-128*Y-119 = 0

-128*Y-119 = 0 // + 119

-128*Y = 119 // : -128

Y = 119/(-128)

Y = -119/128

DELTA = 0 <=> t_3 = -119/128

x = 3/(2*4) i Y = -119/128

x = 3/8 i Y = -119/128

( x = ((9-16*(8*Y+8))^(1/2)+3)/(2*4) or x = (3-(9-16*(8*Y+8))^(1/2))/(2*4) ) i Y > -119/128

( x = ((9-16*(8*Y+8))^(1/2)+3)/8 or x = (3-(9-16*(8*Y+8))^(1/2))/8 ) i Y > -119/128

Y+119/128 > 0

Y+119/128 > 0 // - 119/128

Y > -119/128

x in { 3/8, ((9-16*(8*Y+8))^(1/2)+3)/8, (3-(9-16*(8*Y+8))^(1/2))/8 }

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