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Xelga [282]
3 years ago
8

Find the positive solution and please explain how ;4;

Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0
(x + 2)² - 10 = 0 (assuming it's equal to zero)

Expand the binomial: (x + y)² = x² + 2xy + y²
Thus, x² + 4x + 4 - 10 = 0
x² + 4x - 6 = 0

x = \frac{-4 +_- \sqrt{16 + 24}}{2} (by quadratic formula)
= \frac{-4 +_- \sqrt{40}}{2}
= \frac{-4 +_- 2\sqrt{10}}{2}
= -2 + \sqrt{10}, since we're taking the positive solution.
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