Question

10 points!!! Please show work!!

Answer 1

Smaller
`x=-14`

Larger
`x=0`

Explanation:

`(x+7)^2-49=0`

`(x+7)^2=49` (add 49 to both sides)

`√((x+7)^2) =√(49)`

Knowing that
`7*7=49` and
`-7*-7=49`

`x+7=7` or
`x+7=-7`

Solving for
`x+7=7` first...

`x=0` (subtract 7 from both sides)

Solving for
`x+7=-7`

`x=-14` (subtract 7 from both sides)

Answer 2

Smallest x -14

Larger x 0

Explanation:

(x+7)^2 -49=0

Add 49 to each side

(x+7)^2 -49+49=0+49

(x+7)^2 = 49

Take the square root of each side

sqrt((x+7)^2) = ±sqrt(49)

x+7 = ±7

Subtract 7 from each side

x+7-7 = -7±7

x = -7±7

x = -7 -7 x = -7+7

x = -14 x =0

Smallest x -14

Larger x 0