# Prime Quadratic Equation

**Algebra**Level 2

\(p\) and \(q\) are primes greater than 10 where \({ 2 }^{ p }-1=q\).

Find the minimum possible value of \(p\) and \(q\) and choose the quadratic equation where \({p}^{2}\) and \(q\) are roots.

\(p\) and \(q\) are primes greater than 10 where \({ 2 }^{ p }-1=q\).

Find the minimum possible value of \(p\) and \(q\) and choose the quadratic equation where \({p}^{2}\) and \(q\) are roots.

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