(2x-4)2/3=50

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Solution for (2x-4)2/3=50 equation:


x in (-oo:+oo)

((2*x-4)^2)/3 = 50 // - 50

((2*x-4)^2)/3-50 = 0

((2*x-4)^2)/3+(-50*3)/3 = 0

(2*x-4)^2-50*3 = 0

4*x^2-16*x-134 = 0

4*x^2-16*x-134 = 0

2*(2*x^2-8*x-67) = 0

2*x^2-8*x-67 = 0

DELTA = (-8)^2-(-67*2*4)

DELTA = 600

DELTA > 0

x = (600^(1/2)+8)/(2*2) or x = (8-600^(1/2))/(2*2)

x = (10*6^(1/2)+8)/4 or x = (8-10*6^(1/2))/4

2*(x-((8-10*6^(1/2))/4))*(x-((10*6^(1/2)+8)/4)) = 0

(2*(x-((8-10*6^(1/2))/4))*(x-((10*6^(1/2)+8)/4)))/3 = 0

(2*(x-((8-10*6^(1/2))/4))*(x-((10*6^(1/2)+8)/4)))/3 = 0 // * 3

2*(x-((8-10*6^(1/2))/4))*(x-((10*6^(1/2)+8)/4)) = 0

( x-((10*6^(1/2)+8)/4) )

x-((10*6^(1/2)+8)/4) = 0 // + (10*6^(1/2)+8)/4

x = (10*6^(1/2)+8)/4

( x-((8-10*6^(1/2))/4) )

x-((8-10*6^(1/2))/4) = 0 // + (8-10*6^(1/2))/4

x = (8-10*6^(1/2))/4

x in { (10*6^(1/2)+8)/4, (8-10*6^(1/2))/4 }

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