Math  /  Algebra

QuestionSolve the equation using factoring or the quadratic formula, whichever is appropriate. Answer in lowest terms. 4y+9=4y2-4 y+9=-4 y^{2} \square ±\pm \square ii \square

Studdy Solution
Express the solution in lowest terms:
y=48±8i28 y = \frac{4}{8} \pm \frac{8i\sqrt{2}}{8} y=12±i2 y = \frac{1}{2} \pm i\sqrt{2}
The solutions are:
y=12+i2andy=12i2 y = \frac{1}{2} + i\sqrt{2} \quad \text{and} \quad y = \frac{1}{2} - i\sqrt{2}
The solutions in lowest terms are:
12±i2 \boxed{\frac{1}{2} \pm i\sqrt{2}}

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