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When Kyra solved an equation, she ended up with x = 0. She stated that there was no solution. Do you agree with Kyra? Explain.

a) I agree with Kyra because x = 0 is not a valid solution.
b) I disagree with Kyra because x = 0 is a valid solution.
c) I agree with Kyra because there can be multiple solutions.
d) I disagree with Kyra because she didn't provide enough information.

User GileCAD
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1 Answer

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Final answer:

Kyra's conclusion that x = 0 is not a solution is incorrect; x = 0 can be a valid solution to an equation, including a quadratic equation, unless context specifies otherwise.

Step-by-step explanation:

When Kyra solved an equation and ended up with x = 0, she mistakenly thought that there was no solution. However, x = 0 is indeed a valid solution to an equation unless there is additional context given that would disqualify it.

In the case of quadratic equations, represented by the form ax² + bx + c = 0, two solutions typically arise when applying the quadratic formula.

It's possible that for certain real-world problems, only one of these solutions makes practical sense, while the other does not.

Therefore, without knowing the context of Kyra's equation, such as if it was derived from quadratic equations, it is incorrect to conclude that x = 0 isn't a solution.

The correct response would be option 'b) I disagree with Kyra because x = 0 is a valid solution.'

User Tuomassalo
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