Arithmetic Operations on Complex Numbers

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Questions and Answers

What is the solution to the equation $x^2 = -4$?

  • $x = \pm 2i$ (correct)
  • $x = \pm 4i$
  • $x = -2i$
  • $x = 2i$

What is the discriminant of the quadratic equation $x^2 + 4 = 0$?

  • 4
  • 0
  • -8
  • -16 (correct)

What does it mean when it is said that negative numbers don’t have real square roots?

  • They are not closed under addition
  • They contradict the associative property of addition
  • They result in complex numbers (correct)
  • They violate the commutative property of multiplication

Why does the equation $x^2 + 4 = 0$ have no real solution?

<p>The discriminant is negative (D)</p> Signup and view all the answers

What type of solutions do quadratic equations with a negative discriminant have?

<p>Complex solutions (C)</p> Signup and view all the answers

What is a loop in programming?

<p>A basic programming structure that allows repeated execution of a source code fragment (D)</p> Signup and view all the answers

Which loop type repeats a code block as long as a given condition is true?

<p>While loop (D)</p> Signup and view all the answers

What does the variable 'i' represent in the code 'int i=0; While(i < 10)'?

<p>The counter for the loop iteration (B)</p> Signup and view all the answers

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