a) idk if you typed this one correctly
b) Square of the product of roots = (2/3)^2 = 4/9
Hi, as the title suggests I am stuck on these two quadratic function question:
The quadratic function is 3x^2-5x+2
Solve
a) 2alpha+3beta
b) alpha^2beta^2
Thanks
Year 11 (2017):
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Year 12 (late 2017-2018)
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a) idk if you typed this one correctly
b) Square of the product of roots = (2/3)^2 = 4/9
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Well when you solve the equation you get the roots x=2/3 and x=1
Then just let one of the roots be alpha and the other be beta. Then sub it into part a). I think part a) is a bit weird since you can't tell which root will be alpha and which will be beta since you are multiplying each one by a different number. If you typed part a) correctly, then you would have two different solutions.
For b), just use the square of the product of roots formula (i.e. just multiply the square of 2/3 and 1 which gives 4/9)
Last edited by captainhelium; 7 Sep 2017 at 1:38 PM.
2017 HSC: Eng (Adv.) · 3U Math · 4U Math · Chem · Phys · Bio (98.90 ATAR)
Oh, okay I thought you had to apply -b/a and c/a, that was pretty basic question then
Year 11 (2017):
English Advanced // Mathematics // Physics // Biology // Chemistry // Ancient History
Year 12 (late 2017-2018)
English Advanced // Mathematics // Physics // Biology// Ancient History
Yeah, it's pretty weird but it was in my schools past paper
Year 11 (2017):
English Advanced // Mathematics // Physics // Biology // Chemistry // Ancient History
Year 12 (late 2017-2018)
English Advanced // Mathematics // Physics // Biology// Ancient History
Last edited by highshill; 7 Sep 2017 at 5:19 PM.
Year 11 (2017):
English Advanced // Mathematics // Physics // Biology // Chemistry // Ancient History
Year 12 (late 2017-2018)
English Advanced // Mathematics // Physics // Biology// Ancient History
--------------------------------------------------------------------------------
Buy my books/notes cheaply here!
--------------------------------------------------------------------------------
2016 HSC (Accelerated): // 2U Maths (97) // SOR 1 (48) //
2017 HSC: // English Adv (91) // Bio (96) // Phys (95) // 3U Maths (99) // 4U Maths (97) //
ATAR: 99.75
--------------------------------------------------------------------------------
Year 11 (2017):
English Advanced // Mathematics // Physics // Biology // Chemistry // Ancient History
Year 12 (late 2017-2018)
English Advanced // Mathematics // Physics // Biology// Ancient History
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