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The roots of $y^2 + 5y - 11 = 0$ are $a$ and $b$. Find $(a + 3)(b + 3).$

Jul 26, 2020

The roots a and b are $$\frac{-5 \pm \sqrt{69}}{3}$$
so (a + 3)(b + 3) = $$(-\frac{5 + \sqrt{69}}{3} + 3)(-\frac{5 - \sqrt{69}}{3} + 3) = \boxed{-21}$$