A suspension bridge with weight uniformly distributed along its length has twin towers that extend 90 meters above the road surface and are 400 meters apart. The cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the cables at a point 100 meters from the center. (Assume that the road is level.) The height of the cables is meters. (Simplify your answer.)

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.