Question

solve the equation using the square root property. I need to understand how to break it down to get the answer. -5(x-6)2-15=-30 the 2 is square

Answer 1

use ^ to show a power:
-5(x-6)^2-15=-30

Answer 2

do you know you could add 15 to both sides of the equation, right?
\[ -5(x-6)^2-15+15=-30+15\]

can you simplify this?

Answer 3

then divide 5 to both sides?

Answer 4

divide by -5

Answer 5

now I have (x-6) = 3

Answer 6

add 6 to each side

Answer 7

what happened to the ^2 ?

Answer 8

it should be
(x-6)^2 = 3

Answer 9

now you can do the square root on both sides

Answer 10

x=9

Answer 11

no.
-5(x-6)^2-15=-30
becomes
(x-6)^2 = 3

you must take the square root of both sides

Answer 12

x=3 or x= -3

Answer 13

are you still there?

Answer 14

do you know how to take the square root of
(x-6)^2
?

Answer 15

I thought I did, but can you show me please?

Answer 16

is it x=2 or x-2

Answer 17

\[ \sqrt{ x^2} = x\]
\[ \sqrt{ (x+2)^2} = x+2\]