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Question

# Does factoring, completing the square, or using the quadratic formula seem to you the easiest method for solving the given equation?$x^2-14 x-736=0$

Solution

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We will use completing the square method:

\begin{align}\begin{split} x^2-14x-736 &= 0 \\ x^2-14x &= 736 \\ x^2-14x+49 &= 736+49 \\ (x-7)^2 &= 785 \\ x-7 &= \pm \sqrt{785} \\ x&= 7\pm \sqrt{785} \end{split}\end{align}

thus solutions of quadratic equation are $7+ \sqrt{785}$ and $7- \sqrt{785}$.

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