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Further Maths Question method

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cashem'up:
Show that the sum of the cubes of the roots of the equation
x3 + ? x + 1 = 0
is ?3.
Show also that there is no real value of ? for which the sum of the fourth powers of the roots is
negative.

ANSWER: The majority of candidates worked from S3 + ?S1 + 3 = 0
Alternatively, there were those who used the substitution X^3=Y

Now in most of these type of the questions i am only aware of the sub method... but what is the first method... can someone please explain me... the one regardin summation nd etc

elemis:
What is does the question mark stand for ?

Can you rewrite the question ? Only then will I be able to answer it.

cashem'up:

--- Quote from: Ari Ben Canaan on March 31, 2011, 05:27:01 am ---What is does the question mark stand for ?

Can you rewrite the question ? Only then will I be able to answer it.

--- End quote ---
? is B (a contant)
Show that the sum of the cubes of the roots of the equation
x3 + B x + 1 = 0
is minus 3.
Show also that there is no real value of B for which the sum of the fourth powers of the roots is
negative.

ANSWER: The majority of candidates worked from S3 + BS1 + 3 = 0
Alternatively, there were those who used the substitution X^3=Y

Now in most of these type of the questions i am only aware of the substitution method... but what is the first method... can someone please explain me... the one regardin summation nd etc

astarmathsandphysics:
When I get to pc

astarmathsandphysics:
1st part

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