# How do you solve #t - sqrt (6t - 9) = 0#?

##### 1 Answer

Feb 5, 2016

#### Explanation:

Given:

Things would be easier if we 'got rid' of the square root!

Square both sides

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Make into a quadratic equation

Observe that

Factorising gives:

so

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Check if correct!

Substituting for t in equation 1 and consider the left hand side only

The only possible value for the LHS to be zero is to have: