This problem is ultra tough. If anyone could help me on this one it would be very much appreciated.

Question

 

√2w+5+4=√25

 

The sqrt symbol is over the 2w+5

Answer 1

sqrt(2w+5) +4 = sqrt(25)

 

Now sqrt(25) = +5 and -5

 

1. Substituting sqrt(25) = +5 in the above eqn

 

sqrt(2w+5) +4 = 5 

sqrt(2w+5) = 1

2w+5 = 1   ( By squaring both sides)

w = -2

 

2. Substituting sqrt(25) = -5 in the main eqn

sqrt(2w+5) +4 = -5

sqrt(2w+5) = -9

2w+5 = 81  (By squaring both sides)

w = 38

 

So 2 possible solutions are w=-2 and w=38

Answer 2

First step is to square root the 25, which is 5. Then subtract the 4 from both sides to get √(2w+5) = 1. You then have to get rid of the square root by squaring both sides, this would lead to 2w + 5 = 1. You then subtracdt 5 from both sides to get 2w = -4 and then divide by 2 to get w = -2. 

 

You can plug any answer you get back into the equation to see if you're right. So let's do that:

 

√(2(-2)+5) + 4 = 5

√(-4 + 5) + 4 = 5

√(1) + 4 = 5

1 + 4 = 5

5 = 5 *this is equal on both sides, therefore the correct answer!*