To solve the equation \( x^4 + 9 = 12 \), we can follow these steps:
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Subtract 9 from both sides: \[ x^4 = 12 - 9 \] \[ x^4 = 3 \]
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Now, take the fourth root of both sides: \[ x = \pm \sqrt[4]{3} \]
Thus, the solutions for \( x \) are: \[ x = \sqrt[4]{3} \quad \text{and} \quad x = -\sqrt[4]{3} \]