(x+5/7)^2=11/49

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Solution for (x+5/7)^2=11/49 equation: 


x in (-oo:+oo)

(x+5/7)^2 = 11/49 // - 11/49

(x+5/7)^2-(11/49) = 0

(x+5/7)^2-11/49 = 0

(49*(x+5/7)^2)/49-11/49 = 0

49*(x+5/7)^2-11 = 0

49*x^2+70*x+14 = 0

49*x^2+70*x+14 = 0

7*(7*x^2+10*x+2) = 0

7*x^2+10*x+2 = 0

DELTA = 10^2-(2*4*7)

DELTA = 44

DELTA > 0

x = (44^(1/2)-10)/(2*7) or x = (-44^(1/2)-10)/(2*7)

x = (2*11^(1/2)-10)/14 or x = (-2*11^(1/2)-10)/14

7*(x-((-2*11^(1/2)-10)/14))*(x-((2*11^(1/2)-10)/14)) = 0

(7*(x-((-2*11^(1/2)-10)/14))*(x-((2*11^(1/2)-10)/14)))/49 = 0

(7*(x-((-2*11^(1/2)-10)/14))*(x-((2*11^(1/2)-10)/14)))/49 = 0 // * 49

7*(x-((-2*11^(1/2)-10)/14))*(x-((2*11^(1/2)-10)/14)) = 0

( x-((-2*11^(1/2)-10)/14) )

x-((-2*11^(1/2)-10)/14) = 0 // + (-2*11^(1/2)-10)/14

x = (-2*11^(1/2)-10)/14

( x-((2*11^(1/2)-10)/14) )

x-((2*11^(1/2)-10)/14) = 0 // + (2*11^(1/2)-10)/14

x = (2*11^(1/2)-10)/14

x in { (-2*11^(1/2)-10)/14, (2*11^(1/2)-10)/14 }

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