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

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

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User Scott Stafford
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16x^2-16x+4=9 \\ (4x)^2-2 \cdot 2 \cdot 4x + 2^2=9 \\ (4x-2)^2=9 \\ √((4x-2)^2)=√(9) \\ |4x-2|=3 \\ 4x-2=3 \ \lor \ 4x-2=-3 \\ 4x=5 \ \lor \ 4x=-1 \\ x=(5)/(4) \ \lor \ x=-(1)/(4) \\ \boxed{x \in \{ -(1)/(4), (5)/(4) \} }
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User Matsolof
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