6/3z-1+6/3z+1=5/9z^2-1

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Solution for 6/3z-1+6/3z+1=5/9z^2-1 equation: 


z in (-oo:+oo)

(6/3)*z+(6/3)*z-1+1 = (5/9)*z^2-1 // - (5/9)*z^2-1

(6/3)*z-((5/9)*z^2)+(6/3)*z-1+1+1 = 0

(-5/9)*z^2+(6/3)*z+(6/3)*z-1+1+1 = 0

4*z-5/9*z^2+1 = 0

DELTA = 4^2-(-5/9*1*4)

DELTA = 164/9

DELTA > 0

z = ((164/9)^(1/2)-4)/(-5/9*2) or z = (-(164/9)^(1/2)-4)/(-5/9*2)

z = -9/10*((164/9)^(1/2)-4) or z = 9/10*((164/9)^(1/2)+4)

z in { -9/10*((164/9)^(1/2)-4), 9/10*((164/9)^(1/2)+4) }

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