4=(x-10)^2/5

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Solution for 4=(x-10)^2/5 equation: 


x in (-oo:+oo)

4 = ((x-10)^2)/5 // - ((x-10)^2)/5

4-(((x-10)^2)/5) = 0

(-1*(x-10)^2)/5+4 = 0

(-1*(x-10)^2)/5+(4*5)/5 = 0

4*5-1*(x-10)^2 = 0

20*x-x^2-80 = 0

20*x-x^2-80 = 0

20*x-x^2-80 = 0

DELTA = 20^2-(-80*(-1)*4)

DELTA = 80

DELTA > 0

x = (80^(1/2)-20)/(-1*2) or x = (-80^(1/2)-20)/(-1*2)

x = (4*5^(1/2)-20)/(-2) or x = (-4*5^(1/2)-20)/(-2)

(x-((4*5^(1/2)-20)/(-2)))*(x-((-4*5^(1/2)-20)/(-2))) = 0

((x-((4*5^(1/2)-20)/(-2)))*(x-((-4*5^(1/2)-20)/(-2))))/5 = 0

((x-((4*5^(1/2)-20)/(-2)))*(x-((-4*5^(1/2)-20)/(-2))))/5 = 0 // * 5

(x-((4*5^(1/2)-20)/(-2)))*(x-((-4*5^(1/2)-20)/(-2))) = 0

( x-((-4*5^(1/2)-20)/(-2)) )

x-((-4*5^(1/2)-20)/(-2)) = 0 // + (-4*5^(1/2)-20)/(-2)

x = (-4*5^(1/2)-20)/(-2)

( x-((4*5^(1/2)-20)/(-2)) )

x-((4*5^(1/2)-20)/(-2)) = 0 // + (4*5^(1/2)-20)/(-2)

x = (4*5^(1/2)-20)/(-2)

x in { (-4*5^(1/2)-20)/(-2), (4*5^(1/2)-20)/(-2) }

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