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Using the quadratic formula, what is the solution set of ?
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5. BONUS: Mathematical Operations and Functions
The Quadratic Formula
Multiple Choice
Solve for the only real solution of .
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D
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검증된 단계별 안내1
Rewrite the given equation clearly: \(2x^{2} + 8x = x^{2} - 16\).
Bring all terms to one side to set the equation equal to zero: \(2x^{2} + 8x - x^{2} + 16 = 0\).
Simplify the equation by combining like terms: \(x^{2} + 8x + 16 = 0\).
Recognize that this is a quadratic equation in standard form \(ax^{2} + bx + c = 0\), where \(a=1\), \(b=8\), and \(c=16\).
Use the quadratic formula \(x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}\) to find the solutions, then identify the only real solution from the results.
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