2x/9,8=(3-x/340)^2

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Solution for 2x/9,8=(3-x/340)^2 equation:


x in (-oo:+oo)

(2*x)/9.8 = (3-(x/340))^2 // - (3-(x/340))^2

(2*x)/9.8-(3-(x/340))^2 = 0

0.20408163*x-1*(3-1/340*x)^2 = 0

0.20408163*x-1*(3-1/340*x)^2 = 0

0.22172869*x-1/115600*x^2-9 = 0

0.22172869*x-1/115600*x^2-9 = 0

0.22172869*x-1/115600*x^2-9 = 0

DELTA = 0.22172869^2-(-9*(-1/115600)*4)

DELTA = 0.22172869^2-9/28900

DELTA = 0.04885219

DELTA > 0

x = ((0.22172869^2-9/28900)^(1/2)-0.22172869)/(-1/115600*2) or x = (-(0.22172869^2-9/28900)^(1/2)-0.22172869)/(-1/115600*2)

x = -57800*((0.22172869^2-9/28900)^(1/2)-0.22172869) or x = 57800*((0.22172869^2-9/28900)^(1/2)+0.22172869)

(x+57800*((0.22172869^2-9/28900)^(1/2)-0.22172869))*(x-57800*((0.22172869^2-9/28900)^(1/2)+0.22172869)) = 0

(x+57800*((0.22172869^2-9/28900)^(1/2)-0.22172869))*(x-57800*((0.22172869^2-9/28900)^(1/2)+0.22172869)) = 0

( x+57800*((0.22172869^2-9/28900)^(1/2)-0.22172869) )

x+57800*((0.22172869^2-9/28900)^(1/2)-0.22172869) = 0 // - 57800*((0.22172869^2-9/28900)^(1/2)-0.22172869)

x = -(57800*((0.22172869^2-9/28900)^(1/2)-0.22172869))

x = -57800*((0.22172869^2-9/28900)^(1/2)-0.22172869)

( x-57800*((0.22172869^2-9/28900)^(1/2)+0.22172869) )

x-57800*((0.22172869^2-9/28900)^(1/2)+0.22172869) = 0 // + -57800*((0.22172869^2-9/28900)^(1/2)+0.22172869)

x = -(-57800*((0.22172869^2-9/28900)^(1/2)+0.22172869))

x = 57800*((0.22172869^2-9/28900)^(1/2)+0.22172869)

x in { -57800*((0.22172869^2-9/28900)^(1/2)-0.22172869), 57800*((0.22172869^2-9/28900)^(1/2)+0.22172869) }

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