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Using the

x² + 2x + 3 = 0

a = 1; b = 2; c = 3

Discriminant = (2)² - 4 (1)(3)

= 4 - 12

= - 8

If the discriminant is < 0 or the discriminant is negative,

It also means that there is no x-intercept or the graph (parabola does not pass through x-axis. Either the minimum or maximum of the graph is below or above the x axis.

ANSWER: The nature of the roots of the given solution is

**discriminant formula****b² - 4ac**, the nature of roots of the the quadratic equation can be identified.x² + 2x + 3 = 0

a = 1; b = 2; c = 3

Discriminant = (2)² - 4 (1)(3)

= 4 - 12

= - 8

If the discriminant is < 0 or the discriminant is negative,

**there is no real solution**because the solution is imaginary or complex number.It also means that there is no x-intercept or the graph (parabola does not pass through x-axis. Either the minimum or maximum of the graph is below or above the x axis.

ANSWER: The nature of the roots of the given solution is

**NO REAL SOLUTIONS.**