Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.

−b b2 − 4ac 2a

Use the part of the quadratic formula that you chose above and find its value, given the following quadratic equation:

4x2 + 6x + 2 = 0

Question

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.

−b     b2 − 4ac     2a

Use the part of the quadratic formula that you chose above and find its value, given the following quadratic equation:

4x2 + 6x + 2 = 0

Florisalreadytaken · Answer

a) the answer to that would be the discriminant, or $ b^{2}-4ac $

only real discriminant is the sign indicating that the quadratic is factorable.

b) $ 4x^{2} + 6x + 2 = 0 $  -- find the value of the discriminant in this formula.

we can see that:
$$ a=4 \ \ \ \ \ ; \ \ \ \ \ b=6 \ \ \ \ \  c=2  $$
putting that information into $ b^2-4ac $ we get:
$$  D=6^{2}-4(4)(2) $$
$$  D=36-16 \times 2 $$
$$  D=36-32 $$
$$  D=4 $$

angelcook2007 · Answer

@florisalreadytaken wrote:

a) the answer to that would be the discriminant, or $ b^{2}-4ac $ only real discriminant is the sign indicating that the quadratic is factorable. b) $ 4x^{2} + 6x + 2 = 0 $ -- find the value of the discriminant in this formula. we can see that: $$ a=4 \ \ \ \ \ ; \ \ \ \ \ b=6 \ \ \ \ \ c=2 $$ putting that information into $ b^2-4ac $ we get: $$ D=6^{2}-4(4)(2) $$ $$ D=36-16 \times 2 $$ $$ D=36-32 $$ $$ D=4 $$

I did what I understood and got 4 but I didn't know if it was right

Florisalreadytaken · Answer

well, congrats on being correct then : )

angelcook2007 · Answer

lol

angelcook2007 · Answer

thank you, I had help on a similar question, but I forgot what I was supposed to do, I just went off of my faint memory on it