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

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

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Answer 1 · 2015-04-29T12:16:07

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.

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

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