Let's go through Sehyr’s work step by step and identify the error.
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Starting with the equation:
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She correctly added 7 to both sides:
This simplifies to: -
However, Sehyr then incorrectly used the Division Property of Equality. She wrote:
and ended up with:The last step "w²/2 = 18/2" was incorrect. Instead, we should take the square root of both sides of the equation
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Correcting from
: This can be simplified:
Therefore, the correct solutions to the equation