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Solve X4 – 10x2 +9 =0 - Mathematics

Sum

Solve x4 – 10x2 +9 =0

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Solution

x4 – 10x2 +9 =0

`=> x^4 - 9x^2 - x^2 + 9 = 0`

`=> x^2(x^2 - 9) - 1(x^2 - 9) = 0`

`=> (x^2 - 9)(x^2 - 1) = 0`

If `x^2 - 9 = 0` or `x^2 - 1 = 0`

`=> x^2 =9` or `x^2 = 1`

`=>x = +- 3 or x = +-1`

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