Question

What is the solution of sqrt x-4+5=2 ?

x = –17

x = 13

x = 53

no solution

Answer 1

No solution

Explanation:

If you wanted the equation equal x would have to equal 1.

Answer 2

`√(x-4) + 5= 2`

Subtract 5 from both sides

`√(x-4) + 5-5= 2-5`

`√(x-4)= -3`

To remove square root , take square on both sides

`(√(x-4))^2= (-3)^2`

x-4 = 9

Add 4 on both sides

x = 13

Now verify the solution

Plug in 13 for x and check with original equation

`√(13-4) + 5= 2`

`√(9) + 5= 2`

3 + 5 = 2

That is false

so x=13 cannot be the solution

Hence , No solution