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Roots of x^2 - 4x - log10 N = 0 are real: minimum value of N

The same question, asked 2 times: CDS 2 2020, CDS 2 2021. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2020

    3
    If the roots of the quadratic equation x2−4x−log⁡10N=0x^2 - 4x - \log_{10} N = 0 are real, then what is the minimum value of NN ?

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  2. Question 2

    CDS 2 2021

    19
    If the roots of the equation x2−4x−log⁡10N=0x^2-4x-\log_{10}N=0 are real, then what is the minimum value of NN ?

    Tap an option to check your answer.