Question

if the alpha,beta,gamma,delta,are the roots of the equation x⁴-5x²-2x-2=0 the sum of the roots of equation​

Answer 1

Answer:

α+β+γ+δ=0

Step-by-step explanation:

Sum of the roots α+β+γ+δ= -b/a

From the given polynomial of with degree "4" (ax⁴+bx³+cx²+dx+e),

a=1

b=0

c=-5

d=-2

e=-2

∴α+β+γ+δ= 0/1

               = 0

Answer 2

Step-by-step explanation:

alpha,beta,gamma,delta,are the roots of the equation x⁴-5x²-2x-2=0

then sum of the roots of equation

alpha+beta+gamma+delta

= -)coefficient of x^3)/(coefficient of x^4

= -0/1

= 0

sum of the roots of equation= 0