Respuesta :
Answer:
Option 2
Step-by-step explanation:
We have been given a quadratic equation [tex]x^2-8x+5=0[/tex]
First step in completing method square is to make the coefiicient of [tex]x^2[/tex] 1
Since, in given quadratic equation coefficient of [tex]x^2[/tex] is already 1. we will proceed to the next step which is add and subtract square of the half of coefficient of x in given quadratic equation.
Here, half of coefficient of x that is 8 would be 4 so we will add and subtract [tex]4^2[/tex] in given quadratic equation we will get
[tex]x^2-8x+4^2-4^2+5=0[/tex]
Now, we will proceed to the third step that is making the whole square formula according to the terms
Here, we can see that we are geeting the formula of [tex](x-4)^2[/tex] from [tex]x^2-8x+4^2[/tex]
The equation will become [tex](x-4)^2-4^2+5=0[/tex]
After simplifying we will get [tex](x-4)^2-16+5=0[/tex]
After further simplification we will get [tex](x-4)^2-11=0[/tex]
After more simplification we will get [tex](x-4)=\pm\sqrt{11}[/tex]
Hence, we will get the value of x which is [tex]x=4\pm\sqrt{11}[/tex]
