Step-by-step explanation:
3 books /minute
how many books in 3 hours
3 hours= 180 minutes
540 books in 3 hours
in 5 hours=300 minutes
900 books in 5 hours
in n hours
180*n books in n hours
75+37=112. 180-112=68. 68-7=61. 61/5=12.2. so x=12.2
<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.
I say go with -(1/2) ^ 750