Question

How do you find the discriminant and how many and what type of solutions does `x^2 – x + 2 = 0` have?

Answer 1

Given a quadratic equation in the general form: `ax^2+bx+c=0`
The discriminant is:
`Delta=b^2-4ac`
in your case:
`a=1`
`b=-1`
`c=2`
So: `Delta=....`

Remember that:
`Delta>0` two real separate solutions;
`Delta=0` two real coincident solutions (the same value counted twice);
`Delta<0` No real solutions.