Sheryl says that the solutions of the quadratic equations w2=49 and w2+49=0 are the same. do you agree with sheryl? justify your answer
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Given : Sheryl says that the solutions of the quadratic equations w²=49 and w²+49=0 are the same
To Find : is Sheryl correct
Solution:
I do not agree with Sheryl
w²=49
=> w² - 49 = 0
=> w² - 7² = 0
=> (w + 7)(w - 7) = 0
=> w = -7 , 7
w²+49=0
w² ≥ 0
+ 49 Hence can not be equal to zero
Hence no real solution exist
w²+49=0
=> w = ± 7i where i is √-1
Sheryl is incorrect
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