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lisov135 [29]
1 year ago
8

I forgot how to find the range of values of x and I will be very much appreciated if I could get a step by step clear solution t

o get the answers!

Mathematics
1 answer:
Ksivusya [100]1 year ago
5 0

The <em>quadratic</em> equation has the following results: (p, q) = (8, 15), minimum point: (h, k) = (1, 4), range of values: - 4 < x < - 3

<h3>How to analyze quadratic equations</h3>

In this question we have a <em>quadratic</em> equation of the form y = x² + p · x + q , whose <em>missing</em> coefficients can be found by solving on the following system of <em>linear</em> equations:

- 5 · p + q = - 25

- 3 · p + q = - 9

(p, q) = (8, 15)

The vertex represents the <em>minimum</em> point, which is found by changing the form of the equation from <em>standard</em> form into <em>vertex</em> form:

y = x² + 8 · x + 15

y + 1 = x² + 8 · x + 16

y + 1 = (x + 4)²

(h, k) = (1, 4)

And lastly we must solve for x in the following inequality:

x² + 8 · x + 15 < x + 3

x² + 7 · x + 12 < 0

(x + 3) · (x + 4) < 0

- 4 < x < - 3

To learn more on quadratic equations: brainly.com/question/2263981

#SPJ1

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