yx46x2Solution The X intercept is when the graph of the func

Solution

The X intercept is when the graph of the function touches the x-axis, that is, it is when y = 0. So we need to solve 0 = x^2 - 6x + 4 This is a quadratic equation, with ? = 36-4*4 = 20 So x1 = (6 - v20)/2 = 3 - v5 and x2 = (6 + v20)/2 = 3 + v5 So we have two x-intercepts: the point (3 - v5 , 0) and the point (3 + v5 , 0)