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Find x, if f(x) = g(x) where f(x) = x4 + 2x2 , g(x) = 11x2 - Mathematics and Statistics

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Question

Find x, if f(x) = g(x) where f(x) = x4 + 2x2, g(x) = 11x2

Sum
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Solution

f(x) = x4 + 2x2, g(x) = 11x2 

f(x) = g(x)    ...(Given)

∴ x4 + 2x2 = 11x2

∴ x4 – 9x2 = 0

∴ x2(x2 – 9) = 0

∴ x2 = 0 or x2 = 9

∴ x = 0 or x = ± 3

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Chapter 6: Functions - Exercise 6.1 [Page 118]
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