The image shows a worked-out quadratic formula problem. The problem states a quadratic equation has a repeated root of x = 2/3, with c=7. Then, the quadratic formula is applied: x = (-3 ± √(3² - 4 * 2 * 7)) / (2 * 2), which simplifies to x = (-3 ± √-33) / 4. The formula is shown to be further simplified using i = √-1, yielding the solutions x = (-3 + i√33) / 4 and x = (-3 - i√33) / 4.

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Jan 23, 2026

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The image shows a worked-out quadratic formula problem. The problem states a quadratic equation has a repeated root of x = 2/3, with c=7. Then, the quadratic formula is applied: x = (-3 ± √(3² - 4 * 2 * 7)) / (2 * 2), which simplifies to x = (-3 ± √-33) / 4. The formula is shown to be further simplified using i = √-1, yielding the solutions x = (-3 + i√33) / 4 and x = (-3 - i√33) / 4.

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