Solve $(x + 4)^{2} - (x - 5)^{2} = 9$

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Solution

The given equation is not linear. But expanding this using identities, we get
$x^{2} + 8 x + 16 - x^{2} + 10 x - 25 = 9$
This reduces to $18 x - 9 = 9$ . After transposing, we get $18 x = 18$ . Hence $x = 1$ .

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