Question

use the sq root proprty to solve (x+5)^2=10 is the answer 5+ or - sq root 10

Answer 1

almost
\[ (x+5)^2 =10\]
take the square root of both sides
\[\sqrt{(x+5)^2}= \sqrt{10} \]
of course the square root undoes the square, so this is
\[ x+5= \sqrt{10} \]
add -5 to both sides
\[ x+5-5= -5+\sqrt{10} \]
simplify 5-5=0 and x+0 is just x , so
\[ x= -5 + \sqrt{10} \]
next we remember that -sqrt(10) is also the square root of 10, so the other answer is
\[ x= -5 - \sqrt{10} \]
we can write this in short hand using ± :
\[ x= -5 ± \sqrt{10} \]

Answer 2

ok now i understand thank you so mcuh