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What types of solutions will a quadratic equation have when the discriminant b2 − 4ac in the quadratic formula is a perfect square?
A. No solutions
B. Two nonreal solutions
C. One real solution
D. Two real solutions

Respuesta :

Answer:

D. Two real solutions

Step-by-step explanation:

Quadratic equation:

  • ax² + bx +c =0

Has solution of:

  • x = (- b ± √(b² - 4ac)/2a

As we have b² - 4ac = k², then solution becomes:

  • x = (-b ± √k²)/2a
  • x = (-b ± k)/2a

Since all b, k and a are real numbers, we will have 2 real solutions.

Correct answer choice is: D. Two real solutions

Answer:

D. Two real solutions

Step-by-step explanation: