9-(a-4)^2/14-2a

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Solution for 9-(a-4)^2/14-2a equation: 


a in (-oo:+oo)

9-(((a-4)^2)/14)-(2*a) = 0

9-(((a-4)^2)/14)-2*a = 0

(-1*(a-4)^2)/14-2*a+9 = 0

(-1*(a-4)^2)/14+(-2*14*a)/14+(9*14)/14 = 0

9*14-1*(a-4)^2-2*14*a = 0

126-a^2-20*a-16 = 0

110-a^2-20*a = 0

110-a^2-20*a = 0

110-a^2-20*a = 0

DELTA = (-20)^2-(-1*4*110)

DELTA = 840

DELTA > 0

a = (840^(1/2)+20)/(-1*2) or a = (20-840^(1/2))/(-1*2)

a = (2*210^(1/2)+20)/(-2) or a = (20-2*210^(1/2))/(-2)

(a-((2*210^(1/2)+20)/(-2)))*(a-((20-2*210^(1/2))/(-2))) = 0

((a-((2*210^(1/2)+20)/(-2)))*(a-((20-2*210^(1/2))/(-2))))/14 = 0

((a-((2*210^(1/2)+20)/(-2)))*(a-((20-2*210^(1/2))/(-2))))/14 = 0 // * 14

(a-((2*210^(1/2)+20)/(-2)))*(a-((20-2*210^(1/2))/(-2))) = 0

( a-((2*210^(1/2)+20)/(-2)) )

a-((2*210^(1/2)+20)/(-2)) = 0 // + (2*210^(1/2)+20)/(-2)

a = (2*210^(1/2)+20)/(-2)

( a-((20-2*210^(1/2))/(-2)) )

a-((20-2*210^(1/2))/(-2)) = 0 // + (20-2*210^(1/2))/(-2)

a = (20-2*210^(1/2))/(-2)

a in { (2*210^(1/2)+20)/(-2), (20-2*210^(1/2))/(-2) }

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