Question

Ella is solving the equation (x+5)2=0 . She writes that the solutions are x=5and−5 .

Anne looks at her work and disagrees. She says that only x=−5 is a solution. Who do you agree with? Explain your reasoning.

Answer 1

Anne

Explanation:

Let's solve it by replacing x by 5, then -5.

(5+5)2=0

10*2=0

20=0

(-5+5)2=0

-5 and 5 cancel each other out, and 0 times anything is 0.

0=0

So Anne is correct.

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