Answer:
x = 5 +- √17
Step-by-step explanation:
0 = -x^2 + 10x - 8
-(-x^2 + 10x - 8) = 0
Now do the quadratic formula with x^2 - 10x + 8 = 0
a = 1
b = -10
c = 8
[tex]x = \frac{ - ( - 10) + - \sqrt{( - {10)}^{2} - 4 \times 1 \times 8} }{2 \times 1} [/tex]
[tex]x = \frac{10 + - \sqrt{17} }{2} [/tex]
[tex]x = 5 + \sqrt{17} [/tex]
[tex]x = 5 - \sqrt{17} [/tex]