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: