Question

I just need the answer

Answer 1

Option D is correct.

The solutions to the equation include

x = 4 ± √17

Step-by-step 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

`\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-(-8)\pm\sqrt[]{(-8)^2-4*1*-1}}{2*1} \\ 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}`

Hope this Helps!!!