(x-3.5)^2/3=150

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Solution for (x-3.5)^2/3=150 equation: 


x in (-oo:+oo)

((x-3.5)^2)/3 = 150 // - 150

((x-3.5)^2)/3-150 = 0

((x-3.5)^2)/3+(-150*3)/3 = 0

(x-3.5)^2-150*3 = 0

x^2-7*x-437.75 = 0

x^2-7*x-437.75 = 0

x^2-7*x-437.75 = 0

DELTA = (-7)^2-(-437.75*1*4)

DELTA = 1800

DELTA > 0

x = (1800^(1/2)+7)/(1*2) or x = (7-1800^(1/2))/(1*2)

x = (30*2^(1/2)+7)/2 or x = (7-30*2^(1/2))/2

(x-((7-30*2^(1/2))/2))*(x-((30*2^(1/2)+7)/2)) = 0

((x-((7-30*2^(1/2))/2))*(x-((30*2^(1/2)+7)/2)))/3 = 0

((x-((7-30*2^(1/2))/2))*(x-((30*2^(1/2)+7)/2)))/3 = 0 // * 3

(x-((7-30*2^(1/2))/2))*(x-((30*2^(1/2)+7)/2)) = 0

( x-((30*2^(1/2)+7)/2) )

x-((30*2^(1/2)+7)/2) = 0 // + (30*2^(1/2)+7)/2

x = (30*2^(1/2)+7)/2

( x-((7-30*2^(1/2))/2) )

x-((7-30*2^(1/2))/2) = 0 // + (7-30*2^(1/2))/2

x = (7-30*2^(1/2))/2

x in { (30*2^(1/2)+7)/2, (7-30*2^(1/2))/2 }

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