SOLUTION: Let α,β and λ be the roots of the equation 4x^3-19x^2+25x-7=0. Without solving the equation, find the values of
a) α + β + λ
b) αβ +	
Algebra.Com
Question 971249: Let α,β and λ be the roots of the equation 4x^3-19x^2+25x-7=0. Without solving the equation, find the values of
a) α + β + λ
b) αβ +αλ +βλ
c) αβλ
Thanks for help in advance.
Answer by anand429(138) (Show Source): You can put this solution on YOUR website!
FOr roots a,b,c of the eqn.(say for alpha, beta and lambda)
Comparing with standard format of
and
RELATED QUESTIONS
Let α and β be the two roots of a quadratic equation ax^2 + 2b^x + c = 0, where (answered by Nate,Edwin McCravy)
Given that α and β are the roots of the quadratic equation, 3x²-2x-1=0 , find... (answered by richard1234)
The equation of y=x³+4x²+x-6 has roots α, β and γ. Find the value of
(i) (answered by Boreal,MathLover1)
If α and β are the roots of 2x²-2x+5=0, find the values of... (answered by MathLover1,ikleyn)
If α(alpha) and β (beta) are the roots of the equation ax^2+bx+c,then the value (answered by reviewermath)
Given that the quadratic equation x^2-2x-m+1=0 has 2 positive real number roots, α... (answered by ewatrrr)
a)given that 3 + 2log2 x= log2 y show that y=8x2
b)Find the roots α and β... (answered by venugopalramana)
Consider the following equation:
[β/( β – 2)] + 2 = (2β – 2)/( β –... (answered by Boreal)
Please solve using the roots:
Given that the quadratic equation x^2-2x-m+1=0 has 2... (answered by Fombitz)