(7x-5)^2/3-2=14

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Solution for (7x-5)^2/3-2=14 equation:


x in (-oo:+oo)

((7*x-5)^2)/3-2 = 14 // - 14

((7*x-5)^2)/3-14-2 = 0

((7*x-5)^2)/3+(-14*3)/3+(-2*3)/3 = 0

(7*x-5)^2-14*3-2*3 = 0

49*x^2-70*x-17-6 = 0

49*x^2-70*x-23 = 0

49*x^2-70*x-23 = 0

49*x^2-70*x-23 = 0

DELTA = (-70)^2-(-23*4*49)

DELTA = 9408

DELTA > 0

x = (9408^(1/2)+70)/(2*49) or x = (70-9408^(1/2))/(2*49)

x = (56*3^(1/2)+70)/98 or x = (70-56*3^(1/2))/98

(x-((70-56*3^(1/2))/98))*(x-((56*3^(1/2)+70)/98)) = 0

((x-((70-56*3^(1/2))/98))*(x-((56*3^(1/2)+70)/98)))/3 = 0

((x-((70-56*3^(1/2))/98))*(x-((56*3^(1/2)+70)/98)))/3 = 0 // * 3

(x-((70-56*3^(1/2))/98))*(x-((56*3^(1/2)+70)/98)) = 0

( x-((56*3^(1/2)+70)/98) )

x-((56*3^(1/2)+70)/98) = 0 // + (56*3^(1/2)+70)/98

x = (56*3^(1/2)+70)/98

( x-((70-56*3^(1/2))/98) )

x-((70-56*3^(1/2))/98) = 0 // + (70-56*3^(1/2))/98

x = (70-56*3^(1/2))/98

x in { (56*3^(1/2)+70)/98, (70-56*3^(1/2))/98 }

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