What is the solution of Vx2+49
V x2+49 - x+5?

x =

Step-by-step explanation:

Given,

Squaring on both L.H.S. and R.H.S.

By expanding L.H.S. we get x² + 49

By expanding R.H.S. we get x² + 10x + 25

x² + 49 =  x² + 10x + 25

x² will be subtracted:

49 = 10x + 25

Variables are to be arranged:

10x = 49 - 25

10x = 24

x =

∴ x =

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.