Question: Consider a parabola defined by the equation ( y^2 = 4bx ) where ( b ge 0 ) and a line given by the equation

Consider a parabola defined by the equation ( y^2 = 4bx ) where ( b \ge 0 ) and a line given by the equation ( y = x + 3 ). This line intersects the parabola at two distinct points. The distance between these two points of intersection is ( 8 ). Find (b)

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