Question

Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 cannot be determined 1 2

Answer 1

Answer:

   0

Step-by-step explanation:

For a quadratic of the form

  ax² +bx +c = 0

The "discriminant" is the expression ...

  b² -4ac

For this equation, we have a=1, b=5, c=7, so the discriminant is ...

  5² -4·1·7 = -3

When the discriminant is negative there will be two distinct complex roots to the equation, and no real roots.

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When the discriminant is zero, there will be one real root with multiplicity 2; when it is positive, there will be two distinct real roots.