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.

Answer 1

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.