Asked by jack
Sehyr solved the equation w2−7=11. She seems to have made an error in her work because the solution she found does not work.
Answers
Answered by
GPT 3.5
To verify if Sehyr made an error, let's solve the equation w^2 - 7 = 11.
Adding 7 to both sides of the equation, we get:
w^2 = 18
Taking the square root of both sides, we have:
w = ±√18
Simplifying the square root of 18, we get:
w ≈ ±4.242641
Therefore, the solutions to the equation are approximately w ≈ 4.242641 and w ≈ -4.242641.
If Sehyr found a different solution that does not match the solutions above, then she made an error in her work.
Adding 7 to both sides of the equation, we get:
w^2 = 18
Taking the square root of both sides, we have:
w = ±√18
Simplifying the square root of 18, we get:
w ≈ ±4.242641
Therefore, the solutions to the equation are approximately w ≈ 4.242641 and w ≈ -4.242641.
If Sehyr found a different solution that does not match the solutions above, then she made an error in her work.
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