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Problem of the Week 8.

Roots:

a) Write every step necessary to check that $1+\sqrt{2}$ is a solution to the equation $$x^2-2x-1=0.$$

b) Write every step necessary to check that $x=\frac{-b + \sqrt{b^2-4ac}}{2a}$ is a solution to the equation $$ax^2+bx+c=0.$$