Question

solve
x^4/(X-2)^2>0 maths class 11​

Answer 1

Given : x⁴ / (x - 2)²  > 0

To Find : x

Solution:

x⁴ / (x - 2)²  > 0

x⁴  ≥ 0

(x - 2)² ≥ 0

x = 0 =>  x⁴ / (x - 2)² = 0

Hence inequality does not hold true

x = 2 =>   (x - 2)²  = 0  , Hence not defined

For all other values  (+)/(+)  = +  > 0

Hence value of x

x ∈ R - { 0 , 2 }

or

x  ∈  ( - ∞ , 0) ∪ ( 0  , 2) ∪ (2 , ∞ )

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