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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Quadratic Equation

NDA 2013 · Mathematics · Quadratic Equation

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

The roots of the equation x2−8x+16=0x^2-8 x+16=0

Options

  1. Aare imaginary
  2. Bare distinct and real
  3. Care equal and real
  4. Dcannot be ascertained

Correct answer

C. are equal and real

Step-by-step solution

Discriminant⁡(D)=b2−4a.c=(−8)2−4.1⋅16=64−64=0forD=0,\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.
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