Question

What is the value of the discriminant of 3x^2+3x+6=0?
A) -63
B) 54
C) 63
D) 81

Answer 1

Recall that determinant for quadratic equation, \(ax^2 + bx + c = 0\) is given by:

\[D = \cfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]

Answer 2

Oops sorry!

It is:

\[D = b^2 - 4ac\]

Answer 3

Now, compare \(3x^2 + 3x + 6 = 0\) with \(ax^2 + bx + c = 0\)

What are the values of a,b and c?

Answer 4

A is 3 and so is B, C is 6

Answer 5

Great!!

Now, can you find the determinant ?

Answer 6

So it would be (3)^2-4(3)(6)=0

Answer 7

which is 9-72

Answer 8

Great! what should be the final answer then ?

Answer 9

so its -63?

Answer 10

Yep!!!!!!

Answer 11

awesome!!!! thx

Answer 12

your welcome :)