[tex]5+2\sqrt{5} , 5-2\sqrt{5}[/tex] Answer: 5±2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
x2 -10x=5=0
x2-10x+25=-5+25
(x-5)(x-5)=20
[tex](x-5)^{2} =\sqrt{20}[/tex]
[tex]\sqrt{x-5}=\sqrt{20}[/tex]
x-5=±[tex]\sqrt{20[/tex]
x=5±[tex]\sqrt{5*4[/tex]
x=5±2[tex]\sqrt{5}[/tex]
