Solve (x + 9)2 = 25.
Vox + 9)2 = 25
1. Apply the square root property of equality:
2. Isolate the variable.
If x + 9 = 5, then x = ?
If x + 9 = -5, then x = ?

hi

(x+9)² = 25  ⇒  (x+9)  = 5  or  (x+9) = -5    as  5² = 25  and  (-5)² = 25

if  x+9 = 5                or   x+9 = -5

   x =  5-9                       x = -5 -9

   x = -4                           x =  -14

So answers are  :  value of   x  are   -4   or  -14

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.