Question

In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the sum of the roots (note that x^n denotes the x raised to the power n, or x multiplied by itself n times)?

Answer 1

Answer:

Step-by-step

Sum of the roots is 49 and product of the roots is 54.

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Answer 2

Answer:

product: 10.1 x 2i

sum: 10.1+2i

Step-by-step explanation:

f(x)=2x4-49x2+54

for finding the roots,

f(x)=0

so solving it using quadratic formula we get,

x=-2i,+2i,-10.1,+10.1

these are the roots.