Question

find the roots of the equation X power 4 - 2 a square x square + a power 4 equal to zero

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Answer 1

Answer:

no such value of x exists,for a= constant

but if a is variable then for a=0,x=0 value exist

Step-by-step explanation:

x⁴+2a²x²+a⁴=0

(x²)² + 2(x²)(a²)+ (a²)²=0

(x²+a²)²=0

This is only possible if expression inside the bracket i.e. (x²+a²)=0

but since sum of two squares cannot be zero,no value of x exist for a being any number other than zero.

but if a=0 ,then for x=0 value exist.

Hope it Helps!!!