Solve t-9tv+20=0

Question

Solve t−9t√+20=0

t =


Hint: Substitute y=t√, and treat this like a quadratic equation.

Answer 1

t - 9√t + 20 = 0

 

Let y = √t.  Then the equation can be rewritten as y² - 9y + 20 = 0

 

                                                                       (y-4)(y-5) = 0

 

                                                                             y = 4 or 5

 

So, √t = 4 or √t = 5

 

       t = 16, 25