Answer
Option D is correct.
The solutions to the equation include
x = 4 ± √17
Explanation
To solve this, we will express the quadratic equation in standard form, ax² + bx + c = 0 first, before we use the quadratic formula to solve.
x² + 4 = 8x + 5
x² - 8x + 4 - 5 = 0
x² - 8x - 1 = 0
a = 1
b = -8
c = -1
The quadratic formula is given as
[tex]\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-(-8)\pm\sqrt[]{(-8)^2-4\times1\times-1}}{2\times1} \\ x=\frac{8\pm\sqrt[]{64^{}+4}}{2} \\ x=\frac{8\pm\sqrt[]{68}}{2} \\ x=\frac{8\pm2\sqrt[]{17}}{2} \\ x=4\pm\sqrt[]{17} \end{gathered}[/tex]Hope this Helps!!!
