Question

If alpha and Beta are the roots of Quadratic Equation x²+5x-1=0 then,find (i) alpha³+ beta³(ii)alpha²+beta²​

Answer 1

Answer:

To find -(i)Alpha^3+beta^3 , (ii)Alpha^2+beta^2

Step-by-step explanation:

x²+5x-1=0

a=1 , b=5 , c=-1

Alpha = -(b/a)

=>-(5/1)

=>-5____________(i)

Beta = c/a

=>-1/1

=>-1_____________(ii)

(a) Put (i) and (ii) in given Equation

Alpha^3+beta^3

=>(-5)^3+(-1)^3

=>-125-1

=>-126

(b)Put (i) and (ii) in given Equation

Alpha^2+beta^2

=>(-5)^2+(-1)^2

=>25+1

=>26

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