Question

The AM between 1-X+x2 and 1+x+x2 is​

Answer 1

Answer:

Step-by-step explanation:

AM=( 1-x+x²+1+x+x²)/2

=(2+2x²)/2

=1+x²

Answer 2

Answer:

AM between 1-x+x²and 1+x+x² = 1+x²

Step-by-step explanation:

Given

Two expressions 1-x+x² and 1+x+x²

To find

The AM - Arithmetic mean of the two expressions given

Recall the formula

The arithmetic mean of two quantities 'a' and 'b' is given by

AM = $\frac{a+b}{2}$ = $\frac{Sum \ of \ values}{2}$

Solution:

We have the two expressions 1-x+x² and 1+x+x²

Sum of the two expressions  = 1-x+x² + 1+x+x²

= 2 +2x²

= 2(1+x²)

Sum of the given two expressions  = 2(1+x²)

AM = $\frac{2(1+x^2)}{2}$ = 1+x²

∴ AM between 1-x+x²and 1+x+x² = 1+x²

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