117x-(3x^2/2)=A

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Solution for 117x-(3x^2/2)=A equation: 


x in (-oo:+oo)

117*x-((3*x^2)/2) = A // - A

117*x-A-((3*x^2)/2) = 0

(-3/2)*x^2-A+117*x = 0

117*x-A-3/2*x^2 = 0

DELTA = 117^2-(-3/2*4*(-A))

DELTA = 13689-6*A

13689-6*A = 0

13689-6*A = 0 // - 13689

-6*A = -13689 // : -6

A = -13689/(-6)

A = 4563/2

DELTA = 0  <=>  t_1 = 4563/2

x = -117/(-3/2*2) i A = 4563/2

x = 39 i A = 4563/2

( x = ((13689-6*A)^(1/2)-117)/(-3/2*2) or x = (-(13689-6*A)^(1/2)-117)/(-3/2*2) ) i A > 4563/2

( x = ((13689-6*A)^(1/2)-117)/(-3) or x = ((13689-6*A)^(1/2)+117)/3 ) i A > 4563/2

A-4563/2 > 0

A-4563/2 > 0 // + 4563/2

A > 4563/2

x in { 39, ((13689-6*A)^(1/2)-117)/(-3), ((13689-6*A)^(1/2)+117)/3 }

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