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

   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.

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.

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