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:

2x2 + 7x + 3 = 0

Numerical Answers Expected!

Answer for Blank 1:

Answer 1

do you remember what someone told yesterday, there are three cases:
2 solutions, 1 solution, no solution.
You will know which case you have by looking at the value of the discriminant (\(\Delta=b^2-4ac\)).

Answer 2

yes, so how do you tell whether or not it has a solution?

Answer 3

Three cases (to remember)
delta > 0 : 2 solutions (-> factoring possible)
delta = 0 : 1 solution (twice the same root) (-> factoring possible)
delta < 0 : no solution. (no real solution -> no factoring)

Answer 4

Delta?

Answer 5

delta=\(\Delta\) = the discriminant :)

Answer 6

In \(2x^2 + 7x + 3 = 0 \) , \(a=2,b=7,c=3\), then \(\Delta=7^2 - 4\times 2\times 3= 25\).

Answer 7

Oh I see