The Student Room Group
Reply 1
You're better off posting this in the maths forum: http://www.thestudentroom.co.uk/forumdisplay.php?f=38

If a quadratic has equal roots, what does this tell you about the discriminant?
Reply 2
Hmmmm...

Is b^2 = 4ac ?


Could a mod please move it or should I just repost it?
Reply 3
It doesn't matter, a mod might move it but I can help you if you want :smile:

Yep, if b^2 = 4ac, then the equation has equal roots. Now sub in your values of a, b and c (in terms of p) and then solve it, I think it'll be a quadratic.
Reply 4
2p^2x^2 = 4x(3P+4)

Is that what I need to expand and solve?
Reply 5
For part a) use b^2 - 4ac = 0 to finde out the value of P. Remember that c =(3p + 4).
Then for partb) you get the value of p and use it in the equation to get it in the for of
ax^2+bx+c=0 Then you simply factorise and the value of x.
Reply 6
AKalair
2p^2x^2 = 4x(3P+4)

Is that what I need to expand and solve?


Nope, you should just be looking at the coefficients of the different terms of x, so a = 1, b = 2p and c = 3p + 4.
Reply 7
Ok then guys, thanks for the help and I've managed to get to here:

2p^2 = 4(3p + 4)

2p^2 = 12p + 16

2p^2 - 12p = 16


But how do I solve from here?


Thanks
Reply 8
Sorry guys just re read my post and saw it :lol:

Its a quadratic if I rearrange it and 2^2 is 4 to it should be b^2 = 4p^2


Once solved I get P = 4, -1 which is right


Really greatfull for the help thanks :smile:

Would you mind helping me with this one too?

7.

An athlete prepares for a race by completing a practice run on each of 11 consecutive
days.

On each day after the first day, he runs further than he ran on the previous day.

The lengths of his 11 practice runs form an arithmetic sequence with first term a km and
common difference d km.

He runs 9 km on the 11th day, and he runs a total of 77 km over the 11 day period.

Find the value of a and the value of d.

Thank You
oh my god they left you on seen for 12 years ouch
(a)as D= 0 b^2 -4ac(2p)^2 4(1)(3p 4)4p^2 - 12p - 16, solve for pso p= 4 or p= -1but negative value is not reqieredso p= 4 (b)as p= 4x^2 2(4)x (3(4) 4)= 0x^2 8x 16, solve for xx= -4