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Alenkasestr [34]
3 years ago
10

Solve for x in the equation

Mathematics
1 answer:
kati45 [8]3 years ago
4 0

Answer:

\large\boxed{x=6\pm3\sqrt{10}}

Step-by-step explanation:

x^2-12x+36=90\\\\x^2-2(x)(6)+6^2=90\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-6)^2=90\iff x-6=\pm\sqrt{90}\\\\x-6=\pm\sqrt{9\cdot10}\\\\x-6=\pm\sqrt9\cdot\sqrt{10}\\\\x-6=\pm3\sqrt{10}\qquad\text{add 6 to both sides}\\\\x=6\pm3\sqrt{10}

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