Answer:
A
Step-by-step explanation:
Answer:
Please read explanation below.
Step-by-step explanation:
Let's go over what some of the symbols of inequalities represent:
: greater than
: less than
: greater than or equal to
: less than or equal to
The symbol in the equation that is given to you is
. It seems as though each of the answer choices have everything written as the same thing except for the description of the inequalities. Check the one that applies.
Whats line c slope intercept form?
It's a flat horizontal line so the slope is 0
Slope = rise/run = 0/run = 0
The "run" can be any number you want as long as it's not 0.
<u>Given</u>:
The given equation is ![x^{2} -3x-7=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-3x-7%3D0)
We need to determine the exact solutions of the equation.
<u>Exact solution:</u>
The exact solution of the equation can be determined by solving the equation using quadratic formula,
![x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
From the equation the values are a = 1, b = -3 and c = -7
Thus, substituting these values in the equation, we get;
![x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-3%29%20%5Cpm%20%5Csqrt%7B3%5E2-4%281%29%28-7%29%7D%7D%7B2%281%29%7D)
![x=\frac{3 \pm \sqrt{9+28}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%20%5Cpm%20%5Csqrt%7B9%2B28%7D%7D%7B2%7D)
![x=\frac{3 \pm \sqrt{37}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%20%5Cpm%20%5Csqrt%7B37%7D%7D%7B2%7D)
Thus, the exact solutions of the given equation is ![x=\frac{3 \pm \sqrt{37}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%20%5Cpm%20%5Csqrt%7B37%7D%7D%7B2%7D)
Hence, Option A is the correct answer.