Answer: [tex]x=7\sqrt{2}+5[/tex]
Step-by-step explanation:
[tex](x-5)^2=98[/tex]
Extract the square root on both sides.
[tex]\sqrt{(x-5)^2}=\sqrt{98}[/tex]
[tex]x-5=\sqrt{98}[/tex]
Add 5
[tex]x=\sqrt{98}+5[/tex]
Simplify the square root.
To do this, find numbers that multiply 98 and repeat so that they can be taken out of the root.
7*7*2 or [tex]7^2*2[/tex]
Replacing this in the root will make a 7 come out of it.
[tex]x=\sqrt{7^2*2}+5[/tex]
[tex]x=7\sqrt{2}+5[/tex]
