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How To Solve A Quadratic Equation With Origami To solve x 2 a1 x a0 set up segments corresponding to the coefficients of the equation as in the diagram with SA 1 , AB a1 and BT a0 . Draw the line y 1 . Fold S (0,1) onto y 1 and make a crease in such a way that the crease passes through T (a1 , a0 ) . There will be two possible creases if the equation has two real roots and no creases if there are no real solutions. The coordinate of the point where the crease intersects the x-axis is a solution to the equation. PCMI 2012 Philip Mallinson