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Sum

Find x, if f(x) = g(x) where f(x) = x^{4 }+ 2x^{2} , g(x) = 11x^{2}

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#### Solution

f(x) = x^{4} + 2x^{2} , `"g"(x)` = 11x^{2}f(x) = g(x)

∴ x^{4 }+ 2x^{2} = 11x^{2}∴ x^{4 }– 9x^{2 }= 0

∴ x^{2} (x^{2} – 9) = 0

∴ x = 0 or x^{2 }– 9 = 0

∴ x = 0 or x^{2} = 9

∴ x = 0 or x = ± 3

Concept: Representation of Function

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