14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238,252,266,280,294,308,322,336,350,364,378,392,406,420,434,448 these are some but there are more
The equation of the normal line is parallel to x - 3y = 5 3y = x - 5 y = 1/3x - 5/3 The normal line has a slope of 1/3 and the slope of the tangent line is -3 Let the point at which the normal line passes the parabola be (x1, y1), then f'(x1) = 2x - 5 = -3 2x = -3 + 5 = 2 x = 2/2 = 1 y = (1)^2 - 5(1) + 4 = 1 - 5 + 4 = 0 Therefore, the normal line passes through point (1, 0) and has a slope of 1/3. Therefore, required equation is y = 1/3(x - 1) y = 1/3x - 1/3