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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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Sum

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

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Solution

f(x) = x4 + 2x2 , `"g"(x)` = 11x2
f(x) = g(x)
∴ x4 + 2x2 = 11x2
∴ x4 – 9x2 = 0
∴ x2 (x2 – 9) = 0
∴ x = 0 or x2 – 9 = 0
∴ x = 0 or x2 = 9
∴ x = 0 or x = ± 3

Concept: Representation of Function
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