How do you solve $sqrt(4a + 1) = 1$ and find any extraneous solutions?

Question

1865 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-29T03:28:53

Square both sides.
Solve the resulting equation.
Check the solution.

Given: $sqrt(4a + 1) = 1$

Square both sides:

$4a + 1 = 1$

Subtract 1 from both sides:

$4a = 0$

Divide both sides by 4:

$a = 0$

Check the solution:

$sqrt(4(0) + 1) = 1$

$1 = 1$

This checks.

There is 1 and only 1 solution and it checks, therefore, there are no extraneous solutions.

How do you solve sqrt(4a + 1) = 1 sqrt(4a + 1) = 1 and find any extraneous solutions?