If a- b and c are distinct- solve the equation x2 - a2 x2 - b2 x2 - c2 x - a3 x - b3 x - c3 x - a3 x - b3 x - c3- 0How many distinct solutions does this have-

1 x x ^ 3 a ^ 2 x amp; x ^ 3 b ^ 2 x amp; x ^ 3 c ^ 2 x x ^ 3 a ^ 3 3 x ^ 2 +3 a ^ 2 x amp; x ^ 3 b ^ 3 3 x ^ 2 +3 b ^ 2 x ...

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Inverse of a Function

If a, b and c...

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If a, b and c are distinct, solve the equation $∣ ∣ ∣ ∣ ∣ \begin{matrix} x^{2} - a^{2} & x^{2} - b^{2} & x^{2} - c^{2} (x - a)^{3} & (x - b)^{3} & (x - c)^{3} (x + a)^{3} & (x + b)^{3} & (x + c)^{3} \end{matrix} ∣ ∣ ∣ ∣ ∣ = 0$
How many distinct solutions does this have?

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(a_{1} x + b_{1} y + c_{1}) + (a_{2} x + b_{2} y + c_{2}) + a_{3} x + b_{3} y + c_{3}) = 0,

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