Sweden | A Nice Algebra Problem | Math Olympiad

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[willberry]

There are three solutions. It is valid for "t" to be negative because we are solving for x, not for its square root. Continuing that third line we end up with x = (3 - sqrt(5)) / 2 which can be verified in the original equation without any square roots of negative numbers.

[gloystar]

Solved it before playing the video in exactly the same way. Turned out the solutions were (zero) and the (square of the golden ratio). Great video.