1. Discriminant

Use the discriminant to determine whether each quadratic equation has two unequal real solutions, a repeated real solution, or no solution, WITHOUT solving each equation below.

(1) x^2 + 5x + 7 = 0

(2) 2x^2 - 3x + 4 = 0

NOTE: What is the correct definition of a discriminant?

2. Check the discriminant, as it says. If it's positive, then you have 2 unequal real roots. If it's negative, no real roots. If it's 0, one root of multiplicity 2.

$\displaystyle b^{2}-4ac$

3. ok

I simply plug the value of a, b and c as found in each equation into the discriminant, right?

Afterward, I simplify, right?

4. Originally Posted by symmetry
I simply plug the value of a, b and c as found in each equation into the discriminant, right?

Afterward, I simplify, right?
Hello,

that's 100% correct.

a = 1
b = 5
c = 7
Thus the discriminant d = 5²-4*1*7=-3. Therefore there exists no real solution.

EB

5. ok

Earboth,

Boy, this is very easy stuff. The question itself is not clear when first read but none the less very easy to handle.

Thanks!