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1. 4 and 8 ==》 <em>corresponding angles</em>
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2. 5 and 6 ==》 <em>linear</em><em> </em><em>pair</em><em> </em><em>angles</em>
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3. 2 and 8 ==》 <em>alternate exterior angles </em>
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4. 3 and 6 ==》 <em>same side interior angle</em>s
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5. 2 and 4 ==》 <em>vertical</em><em> </em><em> </em><em>angles</em><em> </em>
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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