addietreed9947 addietreed9947
  • 24-03-2018
  • Mathematics
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You can determine by the discriminant whether the solutions to the equation are _____ or complex numbers.

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susanwiederspan
susanwiederspan susanwiederspan
  • 24-03-2018
The answer is real, ℝ. 

The discriminant  
[tex]b^2-4ac[/tex] is the thing under the square root (called the radicand) in the quadratic formula. When the discriminant is positive, we have a real solution, because the square root of a positive number gives two real solutions. When the discriminant is zero, we still get a real solution, but there's just one solution—zero. When the discriminant is negative, we get two complex solutions, because the square root of a negative number gives an imaginary solution.
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