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Solve: √x-4= -2
a) x=2
b) x=8
c) There is no solution.
d) x=0

User Sortas
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1 Answer

3 votes

Answer: There is no solution

Explanation:

The formatting of the question isn't clear, but I'll still explore both possibilities. If the square root is only applied to x, we can solve for the variable by adding 4 to both sides and then squaring both sides, which would give us 4. Since that is not an answer choice, it means the square root applies to x-4. With this problem, we square both sides right away. That gives us x=0, but plug 0 back into the original equation. Doing so gives us the square root of -4, which is not possible with real numbers, only with imaginary numbers.

User MaM
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