An equation for lunch

Algebra Level 3

Find the sum of roots of equation x − 4 − 5 x − 2 + 6 = 0 x^{-4}-5x^{-2}+6=0

2 + 3 \sqrt{2}+\sqrt{3} 0 1 5 \sqrt{5}

Hjalmar Orellana Soto by Hjalmar Orellana Soto , 24, Chile

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1 solution

Let α \alpha be one of the solutions to this equation , then obviously − α -\alpha will also be among the solutions .

∴ \therefore for every solution α i \alpha_{i} , there will be a corresponding solution − α i -\alpha_{i} , hence the sum of roots evaluates to be 0 .

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@Hjalmar Orellana Soto

Actually there's an error that you've overlooked by mistake , can you please correct the spelling to Equation in the name of this question ?

A Former Brilliant Member - 6 years, 3 months ago

I cant understand anything can you please explain

Ayush Sharma - 6 years, 1 month ago

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