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The difference of the roots of the quadratic equation $x^2 + bx + c = 0$ is $|b - 2c|$. If $c \neq 0$, then find $c$ in terms of $b$.

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Dec 1, 2020

#1
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By the quadratic formula, c = b + 4.

Dec 1, 2020
#2
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$$\text{By } x = {-b \pm \sqrt{b^2-4ac} \over 2a}, c = b+4$$