Answer:
13. Two real solutions.
14. No real solutions.
Step-by-step explanation:
<u>Given quadratic equations:</u>
13. 
14. 
What is the discriminant?
The discriminant (Δ) is b² - 4ac, which is under the square root in the quadratic formula. It is used to determine the number of real solutions (roots) of a quadratic:
- When b² - 4ac > 0, the quadratic has two real solutions.
- When b² - 4ac = 0, the quadratic has one real solution.
- When b² - 4ac < 0, the quadratic has no real (complex) solutions.
13. x² + 7x + 10 = 0

<u>Find the discriminant value.</u>




As
> 0, this quadratic has two real solutions.
14. 4x² - 3x + 4 = 0

<u>Find the discriminant value.</u>




As
< 0, this quadratic has no real solutions.
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