X=4.9(3.4-x/340)^2

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Solution for X=4.9(3.4-x/340)^2 equation: 


x in (-oo:+oo)

X = 4.9*(3.4-(x/340))^2 // - 4.9*(3.4-(x/340))^2

X-(4.9*(3.4-(x/340))^2) = 0

X-4.9*(3.4-(x/340))^2 = 0

X-4.9*(3.4-1/340*x)^2 = 0

X-4.9*(3.4-1/340*x)^2 = 0

X-0.000042385*x^2+0.0980001176*x-56.644 = 0

X-0.000042385*x^2+0.0980001176*x-56.644 = 0

X-0.000042385*x^2+0.0980001176*x-56.644 = 0

DELTA = 0.0980001176^2-(-0.000042385*4*(X-56.644))

DELTA = 0.00016954*(X-56.644)+0.0980001176^2

0.00016954*(X-56.644)+0.0980001176^2 = 0

0.00016954*(X-56.644)+0.0980001176^2 = 0

0.00016954*X+0.0980001176^2-0.00960342376 = 0

0.00016954*X+0.0980001176^2-0.00960342376 = 0

0.00016954*X+0.0980001176^2-0.00960342376 = 0 // - 0.0980001176^2-0.00960342376

0.00016954*X = -(0.0980001176^2-0.00960342376) // : 0.00016954

X = (-(0.0980001176^2-0.00960342376))/0.00016954

X = 5898.31308246*(0.00960342376-0.0980001176^2)

DELTA = 0  <=>  t_3 = 5898.31308246*(0.00960342376-0.0980001176^2)

x = -0.0980001176/(-0.000042385*2) i X = 5898.31308246*(0.00960342376-0.0980001176^2)

x = 1156.07075145 i X = 5898.31308246*(0.00960342376-0.0980001176^2)

( x = ((0.00016954*(X-56.644)+0.0980001176^2)^(1/2)-0.0980001176)/(-0.000042385*2) or x = (-(0.00016954*(X-56.644)+0.0980001176^2)^(1/2)-0.0980001176)/(-0.000042385*2) ) i X > 5898.31308246*(0.00960342376-0.0980001176^2)

( x = -11796.62616492*((0.00016954*(X-56.644)+0.0980001176^2)^(1/2)-0.0980001176) or x = 11796.62616492*((0.00016954*(X-56.644)+0.0980001176^2)^(1/2)+0.0980001176) ) i X > 5898.31308246*(0.00960342376-0.0980001176^2)

X-(5898.31308246*(0.00960342376-0.0980001176^2)) > 0

X-5898.31308246*(0.00960342376-0.0980001176^2) > 0

X-5898.31308246*(0.00960342376-0.0980001176^2) > 0 // + -5898.31308246*(0.00960342376-0.0980001176^2)

X > -(-5898.31308246*(0.00960342376-0.0980001176^2))

X > 5898.31308246*(0.00960342376-0.0980001176^2)

x in { 1156.07075145, -11796.62616492*((0.00016954*(X-56.644)+0.0980001176^2)^(1/2)-0.0980001176), 11796.62616492*((0.00016954*(X-56.644)+0.0980001176^2)^(1/2)+0.0980001176) }

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