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Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:
The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:
More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
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Answer:
A
Step-by-step explanation:
given 3xy + 4yz + 8xz = 10
subtract 8xz from both sides leaving the terms in y together
3xy + 4yz = 10 - 8xz
take out the common factor y on the left side
y(3x + 4z) = 10 - 8xz
divide both sides by (3x + 4z)
y = → A