Q172 / 270 · NDA 2013 (Phase 2) · Mathematics

The roots of the equation $x^2-8 x+16=0$

  • A
    are imaginary
  • B
    are distinct and real
  • Correct answer
    C
    are equal and real
  • D
    cannot be ascertained

Solution

$\begin{aligned} \operatorname{Discriminant}(\mathrm{D}) & =b^2-4 a . c \\ & =(-8)^2-4.1 \cdot 16 \\ & =64-64=0 \\ \mathrm{for \quad D} & =0, \end{aligned}$ two roots are real & equal.

Hence, the correct answer is option: 'C'.

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