Consecutive roots (1 Viewer)

[Aysce]

In the quadratic equation , the roots are consecutive. Find the value of m. Thanks !

 

[ohexploitable]

In the quadratic equation , the roots are consecutive. Find the value of m. Thanks !

roots are factors of constant term i.e. x=1,2 or x=-1,-2



do same thing for negative roots

 

[Aysce]

Since the roots are consecutive and are the roots.











When (Consecutive roots)








When (consecutive roots)









Took so long to do.
Im guessing this is the maths in focus textbook cause i just did the question. If you end up doing 17 b) can you tell me how you do it.

Cheers, yeah im trying to do 17.b too. Confidence is shattered =.=

 

[oyuck]

Do you want to post the question?

 

[Aysce]

Nope I solved it but thanks anyways

 

[Drongoski]

roots are factors of constant term i.e. x=1,2 or x=-1,-2



do same thing for negative roots

Elegant

 

[Earl Luper]

banging 4 chicks in a row in a night

 

[Aysce]

Anyone have questions based on quadratic roots to post? I feel like doing some

 

[SpiralFlex]

Anyone have questions based on quadratic roots to post? I feel like doing some

Sure thing.

 

[miserable]

thank u saved my life by solving this Consecutive roots problem ^_^

 

[MrBrightside]

is this 3 unit material?

 

[SpiralFlex]

is this 3 unit material?

For quadratic roots, 2 unit. For cubic and sometimes quartics, 3U.

 

[evanstroeve]

is this 3 unit material?

Nup. 2 unit.

 

[MrBrightside]

Since the roots are consecutive and are the roots.











When (Consecutive roots)








When (consecutive roots)









Took so long to do.
Im guessing this is the maths in focus textbook cause i just did the question. If you end up doing 17 b) can you tell me how you do it.

How did you get the 2nd line? farrr I remember these so faintly.

 

[Alkanes]

Which second line?
a(a+1) = ?

 

[MrBrightside]

Which second line?
a(a+1) = ?

therefore a^2 + a = 2

 

[SpiralFlex]

You must know this for your HSC Mr Brightside.



Let us understand where this actually comes from.


If we have quadratic family of and we will let this be equivalent to each other such that, the roots are and



Dividing through by





By equating coefficients,






That is to say,

The sum of the roots of the quadratic in that form is,

The product of the roots of the quadratic in that form is,


Let us apply this,

For consecutive roots, we can right this as the quadratic having roots,



Now, applying the formula we just created.


The sum of the roots:

The produce of the roots are:


We can now solve for

From



Off it goes into




Solve and find

 

[Alkanes]

Product of roots is c/a. From the equation the coefficients of c is 2 and a is 1. 2/1 = 2.