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KiRa [710]
3 years ago
10

What a^2-2a-48=0 by solving equations by completing the square

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0
a^2-2a-48=0 \\
(a^2-2a+1)-1-48=0 \\
(a-1)^2-49=0 \\
(a-1)^2=49 \\
\sqrt{(a-1)^2}=\sqrt{49} \\
|a-1|=7 \\
a-1=7 \ \lor \ a-1=-7 \\
a=7+1 \ \lor \ a=-7+1 \\
a=8 \ \lor \ a=-6 \\
\boxed{a=-6 \hbox{ or } a=8}
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