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Felix exclaims that his quadratic with a discriminant of −1 has no real solutions. Felix then puts down his pencil and refuses to do any more work. Create an equation with a negative discriminant. Then explain to Felix, in calm and complete sentences, how to find the solutions, even though they are not real.
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@morningskye123
lol yes?
please help lol
I'm just guessing but this is your exam question? ;)
maybeeeeeeee
lol yeah it is. I had the same question
yesss so could ya help me out?
Yeah I guess. Let me see if I remember most of the answer. Well, you need to create a q- function that has a negative discriminant
2x^2 + 1x + 3 = 0
.?
And then complete the square.?
It's not asking that. Do the discriminant formula to see if it has a negative outcome
And once you have the outcome explain to your mad friend what you can do with negative discriminant
Okay,so discriminant formula on 2x^2 + 1x + 3 .?
Yes A=2x^2, B=1x C=3. Plug it into the, I forgot the formula but its the top part of the quardratic formula
-b(+or-)sqrt(b^2 + 4ac)
-2^2 +4(2)(3)
So only inside the square root?
yes
But that wouldnt produce a negative number in this case
-20
that's the discriminant
Quick question, what module is your exam on?
The module is 3
and -2^2 + 4(2)(3) is 29
oh, ok. I thought this was 5. 29 hmmm... actually 28 but that means you need to change your equation. That's the correct formula.
change the equation to: -2x^2 -3x + 3 = 0 -b+4ac
The discriminant is -15
sorry no -b it's b-4ac
b^2-4ac stupid typo
Okay, so find a set of numbers to plug into the forula and get a negative output?
yes. This should give you a negative output: -2x^2 -3x + 3 = 0
I got 40
i was going to use a =2, b = 2, and c = 1
Don't copy this but read it and it should give you a idea of how to solve the equation. This is my answer from my test.
Even not real numbers need a solution. Here's an equation x^2-2x+5=0. Plug these in into the discriminant and see what we up to. -16 is my discriminant so it's a complex solution. Now let's find the solution. No greatest common factor so plug it in into the quadratic formula. -b plus or minus sq root b -4ac/2a. -(-2) plus or minus sq root (-2)^2+4(1)(5)/2(1). Now simplify, 2 plus or minus sq root -16/2 you can't have a negative sq root so you take sq root i or -1 times sq root 16. 16 is a perfect square so it's 4 and you combine i with 4 and divide 2 and 4i. Which you'll get 1 plus or minus 2i.
I got a 10 on the question so its correct
Thank you, ill use a new equation and solve it using the method you used.
kk, goodluck on the others
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