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vova2212 [387]
3 years ago
15

How to solve 16x2-16x+4=9 using square root property

English
1 answer:
Bond [772]3 years ago
7 0
16x^2-16x+4=9 \\
(4x)^2-2 \cdot 2 \cdot 4x + 2^2=9 \\
(4x-2)^2=9 \\
\sqrt{(4x-2)^2}=\sqrt{9} \\
|4x-2|=3 \\
4x-2=3 \ \lor \ 4x-2=-3 \\
4x=5 \ \lor \ 4x=-1 \\
x=\frac{5}{4} \ \lor \ x=-\frac{1}{4} \\ 
\boxed{x \in \{ -\frac{1}{4}, \frac{5}{4} \} }
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