x^2+(80/84x+80)^2=62^2

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Solution for x^2+(80/84x+80)^2=62^2 equation: 


x in (-oo:+oo)

((80/84)*x+80)^2+x^2 = 62^2 // - 62^2

((80/84)*x+80)^2+x^2-62^2 = 0

(20/21*x+80)^2+x^2-3844 = 0

(20/21*x+80)^2+x^2-3844 = 0

841/441*x^2+3200/21*x-3844+6400 = 0

841/441*x^2+3200/21*x+2556 = 0

841/441*x^2+3200/21*x+2556 = 0

841/441*x^2+3200/21*x+2556 = 0

DELTA = (3200/21)^2-(841/441*4*2556)

DELTA = 1641616/441

DELTA > 0

x = ((1641616/441)^(1/2)-3200/21)/(841/441*2) or x = (-(1641616/441)^(1/2)-3200/21)/(841/441*2)

x = 441/1682*((1641616/441)^(1/2)-3200/21) or x = -441/1682*((1641616/441)^(1/2)+3200/21)

(x+441/1682*((1641616/441)^(1/2)+3200/21))*(x-441/1682*((1641616/441)^(1/2)-3200/21)) = 0

(x+441/1682*((1641616/441)^(1/2)+3200/21))*(x-441/1682*((1641616/441)^(1/2)-3200/21)) = 0

( x+441/1682*((1641616/441)^(1/2)+3200/21) )

x+441/1682*((1641616/441)^(1/2)+3200/21) = 0 // - 441/1682*((1641616/441)^(1/2)+3200/21)

x = -(441/1682*((1641616/441)^(1/2)+3200/21))

x = -441/1682*((1641616/441)^(1/2)+3200/21)

( x-441/1682*((1641616/441)^(1/2)-3200/21) )

x-441/1682*((1641616/441)^(1/2)-3200/21) = 0 // + -441/1682*((1641616/441)^(1/2)-3200/21)

x = -(-441/1682*((1641616/441)^(1/2)-3200/21))

x = 441/1682*((1641616/441)^(1/2)-3200/21)

x in { -441/1682*((1641616/441)^(1/2)+3200/21), 441/1682*((1641616/441)^(1/2)-3200/21) }

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