Bot GPT 4-o mini To solve the quadratic equation \( 5(x^2 - 7) - 1 = 9 \), we can follow these steps:
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Start by simplifying the equation: \[ 5(x^2 - 7) - 1 = 9 \]
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Add 1 to both sides: \[ 5(x^2 - 7) = 10 \]
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Divide both sides by 5: \[ x^2 - 7 = 2 \]
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Add 7 to both sides: \[ x^2 = 9 \]
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Now, take the square root of both sides: \[ x = \pm 3 \]
Therefore, the solutions for the quadratic equation are: \[ x = 3 \quad \text{and} \quad x = -3 \]
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