Answer:
Step-by-step explanation:
Given equation of the quadratic function is,
y = x² + 5x - 7
Convert this equation into vertex form,
y = x² + 2(2.5x) - 7
= x² + 2(2.5x) + (2.5)² - (2.5)² - 7
= (x + 2.5)²- 6.25 - 7
= (x + 2.5)² - 13.25
Therefore, vertex of the function is → (-2.5, -13.25)
For the solutions,
y = 0
(x + 2.5)² - 13.25 = 0
x = (±√13.25) - 2.5
x = (±3.64) - 2.5
x = 1.14, -6.14
Solutions → (-6.14, 0) and (1.14, 0)
Answer:
B. -6
Step-by-step explanation:
-6 + 10 =4
Using Vieta's Theorem, it is found that c = 72.
<h3>What is the Vieta Theorem?</h3>
- Suppose we have a quadratic equation, in the following format:

The Theorem states that:


In this problem, the polynomial is:

Hence the coefficients are
.
Since the difference of the solutions is 1, we have that:


Then, from the first equation of the Theorem:





Now, from the second equation:



To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978