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the number of real roots of 6 x 4 8 x 4 16
Question:
The number of real roots of
$$ (6 - x)^4 + (8 - x)^4 = 16 $$
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When solving quartic equations, consider factoring or using substitution methods to simplify the equation.
IPU CET - 2017
IPU CET
Updated On:
Dec 11, 2025
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6
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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.
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