Forming a quadratic from a given sum and product

Forming a quadratic from a given sum and product

IB Year 6 | Grade 12

The sum of the roots of a quadratic equation is \(\dfrac{2}{5}\) and the product of its roots is \(-3\). Write down this equation in the form \(ax^2+bx+c=0\), where \(a\), \(b\) and \(c\) are integers.

Solution:

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Answer:\(5x^2-2x-15=0\)

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