40=2x*(x-6)^1/2

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Solution for 40=2x*(x-6)^1/2 equation: 


x in (-oo:+oo)

40 = (2*x*(x-6)^1)/2 // - (2*x*(x-6)^1)/2

40-((2*x*(x-6)^1)/2) = 0

40-(x*(x-6)) = 0

40-1*x*(x-6) = 0

40-1*x*(x-6) = 0

6*x-x^2+40 = 0

6*x-x^2+40 = 0

6*x-x^2+40 = 0

DELTA = 6^2-(-1*4*40)

DELTA = 196

DELTA > 0

x = (196^(1/2)-6)/(-1*2) or x = (-196^(1/2)-6)/(-1*2)

x = -4 or x = 10

(x+4)*(x-10) = 0

(x+4)*(x-10) = 0

( x+4 )

x+4 = 0 // - 4

x = -4

( x-10 )

x-10 = 0 // + 10

x = 10

x in { -4, 10 }

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