Question

Use the discriminant to determine the number and type of solutions the equation has.

x2 + 8x + 12 = 0

no real solution
one real solution
two rational solutions
two irrational solutions

Answer 1

You should show your result. What is the Discriminant?

Answer 2

16

Answer 3

\(8^{2} - 4(1)(12) = 64 - 48 = 16\)

Okay, I'll buy it. Now, what does that tell us?

Answer 4

um, well, it tells us that...i have no idea

Answer 5

You'll have to do better than that.

Think about the Quadratic Formula. \(x = \dfrac{-b\pm\sqrt{b^{2} - 4ac}}{2a}\)

The stuff under the radical is the "Discriminant". What does it discriminate?

Q1) What happens if Discriminant < 0?? What happens to the radical when the value is NEGATIVE?

Answer 6

If the discriminant is <0 there are two unequal complex roots? If the discriminant is negative, there are two conjugate complex solutions. Sorry.

Answer 7

Okay, now let's think about the possible answers from which we are allowed to choose. We are talking about Real Numbers only.

So, if we are talking about ONLY the Real Numbers, if Discriminant < 0, there are NO Real Solutions. Do you agree?

Answer 8

Yes, so that would be the first one or is there more to consider?

Answer 9

Your discriminant was +16. Since \(Discriminant \ge 0\), there is at least one Real Solution.

Answer 10

http://prntscr.com/l6vlpy

Answer 11

Ok lets go over this more smoothly:
http://prntscr.com/l6vhej

Answer 12

Two similar triangles are shown below:

Two triangles are shown. The sides of the triangle on the left are marked 4, 5, 6.

Answer 13

where is the internal organs located?

Answer 14

Walter purchased a 2010 model sedan for 24000. The dealership offered him a 199/month payment plan for 48 months at the end of which the unpaid balance will

Answer 15

https://prnt.sc/l46pk4

, write a Paraphrase of ONLY lines 69 through 74 from the text in step 2 above (starting with u201cEveryone held himu201d through u2

Answer 16

if 25% of a number is 100,whats the number
A.50 B.100 C.150 D.200 E.400

Answer 17

The influence of Mahatma Gandhi be seen most clearly in Kingu2019s rhetoric in his _____.

Answer 18

Choose the most correct answer

Answer 19

how do the planets venus and neptune differ in terms of atmospheric composition?

Answer 20

What is a modern day example of a parody or satire and how does this help show that one is more important than the other.

Answer 21

Determine the x- and y- intercepts for the graph defined by the given equation.
x = -9
a.

Answer 22

Which of the following physical properties would tell you about an element's mass

Answer 23

GUESS WHAT PEEPLE

Answer 24

Spanish help

Answer 25

English e.e

Answer 26

without takeing seasonal changes into account, describe how latitude affect insol

Answer 27

https://prnt.sc/l6jlw8

Answer 28

A vehicle's fuel economy is affected by its speed. The data on Spaller Auto's most popular vehicle is shown in the table below where x is the speed (mph) an

Answer 29

Complete the following proof

Given: -x-4= 9
Prove: x =-13

1.-x -4 = 9 Given
2.