1) -20=-20
2) 16-36=25-45
3) 16-36+ =25-45+
4) 4^{2}+( )^{2}-2x4x =5^{2}+( )^{2}-2x5x
5) (4- )^{2}=(5- )^{2}
6) ((4- )^{2})^{0.5}=((5- )^{2})^{0.5}
7) 4- =5-
8) 4=5
9) 2+2=5
Where is the first mistake occurs?
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When squarerooting, one obtains the positive value. Thus step 6 is the error, as 4 − 2 9 < 0 . In fact, step 7 should be ∣ 4 − 2 9 ∣ = 5 − 2 9 , which is true.