Equation whose roots are doubled

Equation whose roots are doubled

IB Year 6 | Grade 12

The roots of the equation \(4x^2-8x+3=0\) are \(\alpha\) and \(\beta\). Without finding \(\alpha\) and \(\beta\), find an equation whose roots are \(2\alpha\) and \(2\beta\).

Solution:

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Answer:\(x^2-4x+3=0\)

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