x^2-9x-20/6v-96

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Solution for x^2-9x-20/6v-96 equation:


x in (-oo:+oo)

x^2-((20/6)*v)-(9*x)-96 = 0

(-10/3)*v+x^2-9*x-96 = 0

x^2-10/3*v-9*x-96 = 0

DELTA = (-9)^2-(1*4*(-10/3*v-96))

DELTA = 81-4*(-10/3*v-96)

81-4*(-10/3*v-96) = 0

81-4*(-10/3*v-96) = 0

40/3*v+465 = 0

40/3*v+465 = 0

40/3*v+465 = 0 // - 465

40/3*v = -465 // : 40/3

v = -465/40/3

v = -279/8

DELTA = 0 <=> t_1 = -279/8

x = 9/(1*2) i v = -279/8

x = 9/2 i v = -279/8

( x = ((81-4*(-10/3*v-96))^(1/2)+9)/(1*2) or x = (9-(81-4*(-10/3*v-96))^(1/2))/(1*2) ) i v > -279/8

( x = ((81-4*(-10/3*v-96))^(1/2)+9)/2 or x = (9-(81-4*(-10/3*v-96))^(1/2))/2 ) i v > -279/8

v+279/8 > 0

v+279/8 > 0 // - 279/8

v > -279/8

x in { 9/2, ((81-4*(-10/3*v-96))^(1/2)+9)/2, (9-(81-4*(-10/3*v-96))^(1/2))/2 }

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