Question

Can you pleaseeeee solve (x-5)^2=3

Answer 1

Answer:

x = 5±sqrt(3)

Step-by-step explanation:

(x-5)^2=3

Take the square root of each side

sqrt((x-5)^2)=±sqrt(3)

x-5 = ±sqrt(3)

Add 5 to each side

x-5 +5= 5±sqrt(3)

x = 5±sqrt(3)

Answer 2

Answer:

$\huge\boxed{x=5-\sqrt3\ \vee\ x=5+\sqrt3}$

Step-by-step explanation:

$(x-5)^2=3\iff x-5=\pm\sqrt3\qquad\text{add 5 to both sides}\\\\x-5+5=-\sqrt3+5\ \vee\ x-5+5=\sqrt3+5\\\\x=5-\sqrt3\ \vee\ x=5+\sqrt3$