Equation whose roots are squared

Equation whose roots are squared

IB Year 6 | Grade 12

The roots of the equation \(2x^2-6x+3=0\) are \(\alpha\) and \(\beta\). Without solving the equation, find an equation with integer coefficients whose roots are \(\alpha^2\) and \(\beta^2\).

Solution:

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Answer:\(4x^2-24x+9=0\)

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