Consider the equation: x^2-51=14x Rewrite the equation by completing the square and what the solution to the equation

Mathematics

1 answer:

marysya [2.9K]2 years ago

3 0

Answer:

x = 17, -3

Step-by-step explanation:

I'm not sure why this is the answer I only know because I've had it before

pretty sure you have to use (b/2) ^2

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$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}$