Quadratic Equations with Complex Solutions (Grade 10)

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Quadratic Equations with Complex Solutions

1. 
Solve: [math]x^2+64=0[/math]
  1. [math] x = -64, 64[/math]
  2. [math]x = -8i, 8i[/math]
  3. [math] x = -64i, 64i[/math]
  4. [math]x = -8, 8[/math]
2. 
Solve the quadratic equation using the square root method: [math]4x^2 +100=0[/math]. What are the two solutions for the quadratic equation?
  1. [math]x=5 or x=-5[/math]
  2. [math]x=5i or x=-5i[/math]
  3. [math]x=5i or x=5i[/math]
  4. [math]x=-5 or x=-5[/math]
3. 
Solve the quadratic equation: [math](x-5)^2=-100[/math]. What are the two solutions for the quadratic equation?
  1. [math]x=5 or x=-5[/math]
  2. [math]x=10i or x=-10i[/math]
  3. [math]x=-5+10i or x=-5-10i[/math]
  4. [math]x=5+10i or x=5-10i[/math]
4. 
Solve the quadratic equation using the quadratic formula.

[math]x^2 - 2x + 5=0[/math]
  1. [math]3, -1[/math]
  2. [math]1 +- 2i[/math]
  3. [math]2 +- 4i[/math]
  4. No solution
5. 
The solutions of [math]x^2 + 6x +10 = 0[/math] are which of the following?
  1. [math]x = -4, x = -22[/math]
  2. [math]x = 2, x = 4[/math]
  3. [math]x = - 3 +- i[/math]
  4. [math]x = 3 +- i[/math]
6. 
Solve the quadratic equation using the quadratic formula.
[math]2x^2-6x + 5=0[/math]
  1. None of these
  2. [math]2, 1[/math]
  3. [math]3+-i[/math]
  4. [math](3+-i)/2[/math]
7. 
Solve.
[math]4x^2+38=2[/math]





8. 
Find the complex solutions to the equation.

[math]x^2+x+6=0[/math]





9. 
Solve. [math] 3x^2 - 2x + 4 = 0[/math]





10. 
Solve. [math]9x^2 + 3x + 7 = 0[/math]





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