Answer:
[tex]x=5(+/-)\sqrt{17}[/tex]
Step-by-step explanation:
we have
[tex]x^{2}-10x+8=0[/tex]
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex]x^{2}-10x=-8[/tex]
Complete the square. Remember to balance the equation by adding the same constants to each side.
[tex]x^{2}-10x+5^{2}=-8+5^{2}[/tex]
[tex]x^{2}-10x+25=-8+25[/tex]
[tex]x^{2}-10x+25=17[/tex]
Rewrite as perfect squares
[tex](x-5)^{2}=17[/tex]
Take square root both sides
[tex](x-5)=(+/-)\sqrt{17}[/tex]
Adds 5 both sides
[tex]x=5(+/-)\sqrt{17}[/tex]
