Equation with roots shifted by three

Equation with roots shifted by three

IB Year 6 | Grade 12

The roots of the equation \(x^2-7x+2=0\) are \(\alpha\) and \(\beta\). Find an equation whose roots are \(\alpha+3\) and \(\beta+3\).

Solution:

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Answer:\(x^2-13x+32=0\)

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