Question

simplify: the above given expression​

Answer 1

Step-by-step explanation:

$= \frac{ - 3 + \sqrt{ {3}^{2} - 4(9)( - 1)} }{2(9)} \\ = \frac{ - 3 + \sqrt{9 + 36} }{18} \\ = \frac{ - 3 + \sqrt{45} }{18} \\ = \frac{ - 3 + \sqrt{3 \times 3 \times 5} }{18} \\ = \frac{ - 3 + 3 \sqrt{5} }{18} \\ = \frac{3( - 1 + \sqrt{5} )}{18} \\ = \frac{ - 1 + \sqrt{5} }{6} \\ = \frac{ \sqrt{5} - 1}{6}$

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