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The difference between the solutions to the equation x^2=a is 30. What is a? Show that your answer is correct.

1 Answer

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solution:

x˄2 = a ⇒ x = ±√a

The difference between the solutions is

√a - (-√a) = 2√a = 30 ⇒ √a = 15

Therefore,

a = 225.


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