Correct Answer: Option D

Explanation

y = 2x² + 9x - 35

2x² + 9x = 35

x² + \(\frac{9}{2}\) = \(\frac{35}{2}\)

x² + \(\frac{9}{2}\) + \(\frac{81}{16}\) = \(\frac{35}{2}\) = \(\frac{81}{16}\)

(x + \(\frac{9}{4}\))² = \(\frac{361}{16}\)

x = \(\frac{-9}{4}\) + \(\frac{\sqrt{361}}{16}\)

x = \(\frac{-9}{4}\) + \(\frac{19}{4}\)

= 2.5 or -7

-7 < x < \(\frac{5}{2}\)

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