How do you solve #27x ^ { 2} - 55x + 2= 0#?
1 Answer
Explanation:
We can use two methods here; i) Factorisation Method, or ii)Quadratic Formula
I'm Going with the Factorisation method.
So,
Now, We know, If the product of two real numbers is zero, then one of them must be zero. (Both can be zero too.)
So,
Or,
So, We have,
If you want to use the Quadratic Formula, then you have to check first that the equation is in the form
So, Here the equation is fine.
Now using the Quadratic Formula.
It states that, A quadratic equation of form
So, We should check the Discriminant
Here,
So, We should get two roots which are distinct and real.
So,
And,
So, We get,
Hence Explained.