A rectangular playing field lies in the interior of an elliptical track that is 50 yards wide and 110 yards long. What is the width of of the rectangular playing field if the width is located 15 yards from either​ vertex?

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step-by-step explanation:

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step-by-step explanation:

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"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629