The roots of the equation ((3 -x)^4 + (2-x)^4) = ((5 - 2x)^4... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

The roots of the equation $(3 -x)^4 + (2-x)^4$ = $(5 - 2x)^4$ are

A

all real

B

all imaginary

C

two real and two imaginary

D

none of these

Answer

two real and two imaginary

Explanation

Solution

$(3 - x)^4 + (2 - x)^4 = (5 - 2x)^4 = (3 -x + 2 - x)^4$