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April 24, 2026, 10:57:05 pm
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Author Topic: Help with quadratics  (Read 2247 times)  Share 

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PolySquared

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Help with quadratics
« on: February 19, 2018, 04:33:17 pm »
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Hi,

Can I please get some help on this question?

Find the value of c such that



Is a tangent to the parabola


Thanks.
« Last Edit: February 19, 2018, 05:48:43 pm by PolySquared »
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Bri MT

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Re: Help with quadratics
« Reply #1 on: February 19, 2018, 04:46:15 pm »
+1
Quote from: PolySquared on February 19, 2018, 04:33:17 pm
Hi,

Can I please get some help on this question?

(Image removed from quote.)

Thanks.

What's the question? 
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PolySquared

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Re: Help with quadratics
« Reply #2 on: February 19, 2018, 05:49:10 pm »
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Quote from: miniturtle on February 19, 2018, 04:46:15 pm
What's the question?

I don't know why the imgur image is not popping up...
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jazzycab

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Re: Help with quadratics
« Reply #3 on: February 19, 2018, 06:07:12 pm »
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Quote from: PolySquared on February 19, 2018, 04:33:17 pm
Hi,

Can I please get some help on this question?

Find the value of c such that



Is a tangent to the parabola


Thanks.

This is a discriminant question. If a straight line is tangential to a quadratic, there is only one solution. This means that when solving the pair of equations simultaneously, the resultant quadratic will have a discriminant of zero
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PolySquared

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Re: Help with quadratics
« Reply #4 on: February 19, 2018, 06:57:06 pm »
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Quote from: jazzycab on February 19, 2018, 06:07:12 pm
This is a discriminant question. If a straight line is tangential to a quadratic, there is only one solution. This means that when solving the pair of equations simultaneously, the resultant quadratic will have a discriminant of zero

Can you please provide a visual demonstration of what you mean?
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HighSchoolerRS

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Re: Help with quadratics
« Reply #5 on: February 19, 2018, 08:45:28 pm »
+1
Quote from: PolySquared on February 19, 2018, 06:57:06 pm
Can you please provide a visual demonstration of what you mean?
I think what jazzycab is saying is this:
 
If the equation is at a tangent to the parabola, then there is only one point of intersection, as seen the in the picture above.
When speaking about the discriminant, this is what is being referred to -
Spoiler
You have to make the two functions equal to each other and then work out the discriminant, treating them as one function.
Then allow the value of the discriminant to equal 0 and solve for c.
Hope this helped :)
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JamesMaths

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Re: Help with quadratics
« Reply #6 on: February 20, 2018, 10:19:06 am »
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Quote from: PolySquared on February 19, 2018, 04:33:17 pm
Hi,

Can I please get some help on this question?

Find the value of c such that



Is a tangent to the parabola


Thanks.

Here is my solution.

Thanks
James.

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PolySquared

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Re: Help with quadratics
« Reply #7 on: February 20, 2018, 10:46:03 am »
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Quote from: JamesMaths on February 20, 2018, 10:19:06 am
Here is my solution.

Thanks
James.

I don't understand derivatives.
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Sine

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Re: Help with quadratics
« Reply #8 on: February 20, 2018, 11:21:20 am »
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Quote from: PolySquared on February 20, 2018, 10:46:03 am
I don't understand derivatives.
don't understand or haven't learnt yet?

As for the original question. As others have said solve for the intersection such that there is only a single solution. That is the discriminant = 0.
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