Решебник по алгебре 8 класс Макарычев ФГОС Задание 1290

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\[\left( x^{2} - a^{2} \right)^{2} = 4ax + 1\]

\[\left( x^{2} - a^{2} \right)^{2} = \left( x^{2} + a^{2} + 2ax \right) -\]

\[- \left( x^{2} + a^{2} - 2ax \right) + 1,\]

\[\ \ b \geq 0\]

\[\left( x^{2} - a^{2} \right)^{2} = (x + a)^{2} -\]

\[- (x - a)^{2} + 1,\]

\[\text{\ \ c}(b + 1) = b + 1\]

\[(x + a)^{2} = b,\ \ (x - a)^{2} = c,\ \ \ \ \ \ \ \]

\[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ c = 1\]

\[bc = b - c + 1,\]

\[\text{\ \ }(x - a)^{2} = 1\]

\[bc + c = b + 1,\]

\[\ \ x - a = 1,\ \]

\[\ x - a = - 1\]

\[\ x = a + 1,\]

\[\ \ x = a - 1\]