Quantitative Aptitude – Logarithms – Let A be a real number

Slot – 2 – Quantitative Aptitude – Logarithms – Let A be a real number

Let A be a real number – Video Solution

Q. Let A be a real number. Then the roots of the equation x^2 − 4x – log(base2)A = 0 are real and distinct if and only if?
  1. A < 1/16
  2. A > 1/8
  3. A > 1/16
  4. A < 1/8
Answer: A > 1/16

Solution: As we know for Real and distinct roots , discriminant > 0
(-4)^2 – 4*1*(– log2A ) > 0
16+4log2A> 0
So, A > 2^-4
A > 1/16

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