square root properties: solve x^2 + 64 = 0, (x+5)^2 - 6 = 0

[haliebre]

1. solve x^2 + 64 =0 by the square root property
if I first bring the 64 to the other side and get x^2 = -64 and then I square both sides is my answer x= 8i?

2. Solve (x+5)^2 - 6 = 0 by the square root property.

My answer is x = -5 +- the square root of 6

 

[soroban]

Re: square root properties

Hello, haliebre!

You're doing fine . . .

1. Solve $\displaystyle x^2\,+\,64\:=\:0$ by the square root property

if I first bring the 64 to the other side and get $\displaystyle x^2\,=\,-64$
and then I square root both sides, is my answer $\displaystyle x\,=\,8i$ ?

Almost . . . it's $\displaystyle x\,=\,$±$\displaystyle 8i$

2. Solve $\displaystyle (x\,+\,5)^2\,-\,6\:=\:0$ by the square root property.

My answer is: $\displaystyle \,x\:=\:-5\,\pm\,sqrt{6}\;\;$ . . . Right!