Discriminant question (1 Viewer)

[Daq]

I tried using the discriminant for this question but my answer wasn't right, can someone help please?

 

[alphxreturns]

I got B, need explain? Not sure if it's right

 

[Hehehe22]

I might be wrong but I don't think any of these options are correct. @alphxreturns can you explain how you got B?

Any vertical asymptotes for the function y occur when the denominator crosses the x-axis, i.e. when a + bx + 4ax^2 = 0. This function always has a horizontal asymptote, so for only one asymptote, you need to find when there's no vertical asymptote. This means that you need to find values where a + bx + 4ax^2 has no real roots, and you can do this using the discriminant, as you said. That would give you b^2 - 16a^2 < 0, which solves to b < |4a|, or -4a < b < 4a

 

[alphxreturns]

I might be wrong but I don't think any of these options are correct. @alphxreturns can you explain how you got B?

Any vertical asymptotes for the function y occur when the denominator crosses the x-axis, i.e. when a + bx + 4ax^2 = 0. This function always has a horizontal asymptote, so for only one asymptote, you need to find when there's no vertical asymptote. This means that you need to find values where a + bx + 4ax^2 has no real roots, and you can do this using the discriminant, as you said. That would give you b^2 - 16a^2 < 0, which solves to b < |4a|, or -4a < b < 4a

looking back on it, I'm wrong.
(B lets there be one and more roots)

I'm looking at it rn and C works. see a>1 so it fits the criteria, tho not directly

 

[Hehehe22]

looking back on it, I'm wrong.
(B lets there be one and more roots)

I'm looking at it rn and C works. see a>1 so it fits the criteria, tho not directly

Ohhh wait that's a really smart way of looking at it!

@Daq is C the right answer?

 

[Average Boreduser]

I really don't understand why yall r using bos for math qns. Shove this into caht and you've got solutions 80% of the time

 

[alphxreturns]

I really don't understand why yall r using bos for math qns. Shove this into caht and you've got solutions 80% of the time

ai is tripping out on this question rn

i had to lead it through (it was very confused) and landed on C after a lot of nudging and hinting

i'd compeltely forgotten abt the horizontal asymptote so thanks @Hehehe22 for catching it

 

[Hehehe22]

I really don't understand why yall r using bos for math qns. Shove this into caht and you've got solutions 80% of the time

I usually use MathGPT too, but it actually often fails, especially for less conventional questions

 

[alphxreturns]

bro dropped the question and dipped