find the discrimanant and tell the number and type of solutions

Question

find the discrimanant and tell the number and type of solutions t^2=16t-64

Answer 1

The discriminant of Ax² + Bx + C = 0 is B² - 4AC.

 

For t²  = 16t - 64, we have t² - 16t + 64 = 0

 

B² - 4AC = (-16)² - 4(1)(64) = 256 - 256 = 0

 

Since the discriminant is 0, there is exactly one rational solution.