For #x^2 - 6x +9 =0#, how many number of distinct solutions are there, and are they rational, irrational or non real complex numbers?
2 Answers
There is one distinct solution for this equation which is
Explanation:
by factoring,
therefore,
There are
Explanation:
The quadratic equation is
Comparing this equation to the quadratic equation
Remember that the amount of solutions to a polynomial is equal to its degree. Here, since the degree is
The discriminant is
The discriminant tells us about the nature of the roots:
When:
As
To prove the above:
We can also simply obtain those roots by factorizing.