Question

Use the discriminant to determine the nature of the roots of 2x2 + 4x + 3 = 0.

Answer 1

for a quadratic equation of the form ax^2+bx+c=0
the discriminant is b^2-4ac

Answer 2

If \(\large b^2-4ac \) is:

positive, then you'll two real solutions;
zero, one real solution;
negative, then you'll have two complex solutions.

Answer 3

ya dpalnc is right

Answer 4

Quadradic:
\[\huge x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\]

It's the part @nitz and @dpaInc said, with the deductions you'll be using that @dpaInc said. :-)

Answer 5

And technically if it's zero, it's one double-root solution (the same solution twice). But for most practical purposes you don't have to worry about that.

Answer 6

but agent x she has to find the nature of roots not the roots itself