Question 249036

This problem is basically the inverse of being asked to factor a quadratic equation.

The solution (roots) of the equation are 8 and 8.  Ues, 8 is a repeating root since the goal is to produce an equation in standard form of degree 2.  An equation of degree 2 has 2 solutions therefore 8 is a repeating solution. If "a" is a solution (root) of an equation then "(x-a)" is a factor.  So, in this case, the equation that you are being asked to produce has factors "(x-8)" and "(x-8)". Multiply the the factors using the "FOIL" method.

Therefore, the equation that you are being asked to produce is 

(x-8)(x-8)= x^2-16x+64=0.