Question

Find the number of solutions of the equation 2g2 + 4g + 10 = 0 by using the discriminant.

Answer 1

Explanation:

The discriminant of ax^2+bx+c=0 is b^2-4ac, in this case

4^2-4(2)10

16-80

-64

Since -64<0 there are two imaginary (or ‘complex’) solutions.

Note: if d=0, there is one real solution. if d>0, there are two real solutions.