Question

Solve algebraically for x: 4-√2x-5) = 1

Answer 1

Here's how to solve this equation:

4 - √2x-5 = 1
√2x-5 = 4-1
√2x-5 = 3 (now we have to square both sides to get rid of the root)
√2x-5=3  / ^2
(√2x-5)^2 = 3^2
2x-5 = 9
2x = 9+5
2x = 14
x = 14/2
x = 7

The correct answer is 7.