SOLUTION: x^2-5x+35=0 it has no real solutions but what would be the irrational solution?

Question 240628: x^2-5x+35=0
it has no real solutions but what would be the irrational solution?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
This is a job for the quadratic formula. For

the solutions can be found with:

In your equation,
a = 1
b = -5
c = 35
So the solutions are:

Simplifying inside the square root:

At this point, since there is a negative number in the square root, we know that the solutions will be complex (not irrational). For complex numbers we use "i" which stand for :

Simplifying the rest we get:

Separating this into two terms and writing this in a+bi form we get:

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