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Sum and product of the roots of px^2 + bx + q are both a given number: find p +- q

The same question, asked 2 times: CDS 1 2019*, CDS 1 2021. Every wording below, oldest first.

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  1. Question 1

    CDS 1 2019

    100
    Two numbers pp and qq are such that the quadratic equation px2+3x+2q=0px^2 + 3x + 2q = 0 has −6-6 as the sum and the product of the roots. What is the value of (p−q)(p - q) ?

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  2. Question 2

    CDS 1 2021

    24
    If the sum as well as the product of the roots of the equation px2−6x+q=0px^2 - 6x + q = 0 is 6, then what is (p+q)(p + q) equal to?

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