5/6z-2-6/6z+2=8/36z^2-4

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Solution for 5/6z-2-6/6z+2=8/36z^2-4 equation: 


z in (-oo:+oo)

(5/6)*z-((6/6)*z)-2+2 = (8/36)*z^2-4 // - (8/36)*z^2-4

(5/6)*z-((8/36)*z^2)-((6/6)*z)-2+2+4 = 0

(-2/9)*z^2+(5/6)*z-z-2+2+4 = 0

4-2/9*z^2-1/6*z = 0

DELTA = (-1/6)^2-(-2/9*4*4)

DELTA = 43/12

DELTA > 0

z = ((43/12)^(1/2)+1/6)/(-2/9*2) or z = (1/6-(43/12)^(1/2))/(-2/9*2)

z = -9/4*((43/12)^(1/2)+1/6) or z = -9/4*(1/6-(43/12)^(1/2))

z in { -9/4*((43/12)^(1/2)+1/6), -9/4*(1/6-(43/12)^(1/2)) }

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