Answer:
The quadratic equation has two complex solutions
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form is equal to
in this problem we have
Equate to cero
so
substitute in the formula
Remember that
so
therefore
The quadratic equation has two complex solutions
The equation of the circle with center at (2,-4) and tangent to the line x = -2 is given by:
(2) (x - 2)² + (y + 4)² = 16
<h3>What is the equation of a circle?</h3>The equation of a circle of center and radius r is given by:
The circle has center at (2,-4), hence .
The center is tangent to the line x = -2, hence it has a point at x = -2, since |-2 - 2| = 4, r = 4 -> r² = 16.
Hence the equation of the circle is given by:
(2) (x - 2)² + (y + 4)² = 16
More can be learned about the equation of a circle at brainly.com/question/24307696
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