12x+4/4(x-1)(x+1)=5/4

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Solution for 12x+4/4(x-1)(x+1)=5/4 equation:


x in (-oo:+oo)

(4/4)*(x-1)*(x+1)+12*x = 5/4 // - 5/4

(4/4)*(x-1)*(x+1)+12*x-(5/4) = 0

(4/4)*(x-1)*(x+1)+12*x-5/4 = 0

1*(x-1)*(x+1)+12*x-5/4 = 0

(1*4*(x-1)*(x+1))/4+(4*12*x)/4-5/4 = 0

1*4*(x-1)*(x+1)+4*12*x-5 = 0

4*x^2+48*x-5-4 = 0

4*x^2+48*x-9 = 0

4*x^2+48*x-9 = 0

4*x^2+48*x-9 = 0

DELTA = 48^2-(-9*4*4)

DELTA = 2448

DELTA > 0

x = (2448^(1/2)-48)/(2*4) or x = (-2448^(1/2)-48)/(2*4)

x = (12*17^(1/2)-48)/8 or x = (-12*17^(1/2)-48)/8

(x-((-12*17^(1/2)-48)/8))*(x-((12*17^(1/2)-48)/8)) = 0

((x-((-12*17^(1/2)-48)/8))*(x-((12*17^(1/2)-48)/8)))/4 = 0

((x-((-12*17^(1/2)-48)/8))*(x-((12*17^(1/2)-48)/8)))/4 = 0 // * 4

(x-((-12*17^(1/2)-48)/8))*(x-((12*17^(1/2)-48)/8)) = 0

( x-((-12*17^(1/2)-48)/8) )

x-((-12*17^(1/2)-48)/8) = 0 // + (-12*17^(1/2)-48)/8

x = (-12*17^(1/2)-48)/8

( x-((12*17^(1/2)-48)/8) )

x-((12*17^(1/2)-48)/8) = 0 // + (12*17^(1/2)-48)/8

x = (12*17^(1/2)-48)/8

x in { (-12*17^(1/2)-48)/8, (12*17^(1/2)-48)/8 }

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