Question:
The number of real roots of
\[
(6 - x)^4 + (8 - x)^4 = 16
\]
The number of real roots of
\[
(6 - x)^4 + (8 - x)^4 = 16
\]
Show Hint
When solving quartic equations, consider factoring or using substitution methods to simplify the equation.
Updated On: Apr 1, 2025
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The Correct Option is D
Solution and Explanation
We solve the equation algebraically.
After solving the equation, we find that there are 6 real roots that satisfy the given equation.
After solving the equation, we find that there are 6 real roots that satisfy the given equation.
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