Math CentralQuandaries & Queries


Question from Tharshini, a student:

Given a and B are the roots of the quadratic equation x^2+4x+7=0. Form the quadratic equation which has the roots
3a-1 and 3B-1

Hi Tharshini,

Use the general quadratic to find the roots $a$ and $B.$ Form the quadratic that has roots $3a-1$ and $3B-1$ and simplify. Use the general quadratic to solve find the roots of this equation and verify they are $3a-1$ and $3B-1.$


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