Math  /  Algebra

Question0=2x2+12x30=-2 x^{2}+12 x-3

Studdy Solution
Calculate the roots using the quadratic formula with the simplified discriminant.
x=12±1204 x = \frac{-12 \pm \sqrt{120}}{-4} x=12±2304 x = \frac{-12 \pm 2\sqrt{30}}{-4} x=124±2304 x = \frac{-12}{-4} \pm \frac{2\sqrt{30}}{-4} x=3302 x = 3 \mp \frac{\sqrt{30}}{2}
Therefore, the solutions are: x=3+302andx=3302 x = 3 + \frac{\sqrt{30}}{2} \quad \text{and} \quad x = 3 - \frac{\sqrt{30}}{2}

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