By Using the discriminant find out which solution set we obatin for each of the following quadratic equations.

                                          13x² +1= 5x

Solution

Firstly get the equation in standard form.

13x² - 5x + 1 = 0

Then we have,

a = 13             b = -5 c=1

Plugging in the discriminant gives,

                  b² - 4ac = ( -5)²  - 4 (13) (1) =-27

The discriminant is negative & thus we will have two complex solutions.  For reference reason the actual solutions are,