2/3(x-5)^2-3=0

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Solution for 2/3(x-5)^2-3=0 equation: 


x in (-oo:+oo)

(2/3)*(x-5)^2-3 = 0

2/3*(x-5)^2-3 = 0

2/3*(x-5)^2-3 = 0

2/3*x^2-20/3*x+41/3 = 0

2/3*x^2-20/3*x+41/3 = 0

1/3*(2*x^2-20*x+41) = 0

2*x^2-20*x+41 = 0

DELTA = (-20)^2-(2*4*41)

DELTA = 72

DELTA > 0

x = (72^(1/2)+20)/(2*2) or x = (20-72^(1/2))/(2*2)

x = (6*2^(1/2)+20)/4 or x = (20-6*2^(1/2))/4

1/3*(x-((20-6*2^(1/2))/4))*(x-((6*2^(1/2)+20)/4)) = 0

1/3*(x-((20-6*2^(1/2))/4))*(x-((6*2^(1/2)+20)/4)) = 0

( x-((20-6*2^(1/2))/4) )

x-((20-6*2^(1/2))/4) = 0 // + (20-6*2^(1/2))/4

x = (20-6*2^(1/2))/4

( x-((6*2^(1/2)+20)/4) )

x-((6*2^(1/2)+20)/4) = 0 // + (6*2^(1/2)+20)/4

x = (6*2^(1/2)+20)/4

x in { (20-6*2^(1/2))/4, (6*2^(1/2)+20)/4 }

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