The equation 𝑥²=1 has two solutions.
They are 𝑥 = 1 and 𝑥 = -1.

We can see that if you substitute 1 in as 𝑥, 1² = 1. If instead you substitute -1 as 𝑥, (-1)² = (-1)*(-1) = 1.

In general, 𝑥² = a, where a is a positive real number, has solutions 𝑥 = √a and 𝑥 = -√a.

If a is not a positive number, or is not a real number, but rather a complex number, then we need to expand our horizons.

There will still be two answers, as with the positive number case.

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Multiplication Hack

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Which one is correct?

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Understand the basics of electricity with Ohm’s Law.

This law explains the relationship between Voltage, Current, and Resistance in an electric circuit.

Simple, important, and super useful for Physics exams like NEET & Boards.

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Square tricks

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Visual Proof of (a+b)² = a² + b² + 2ab

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