1)
2) √16641 = 129
3) x² = - 40
- 40 < 0 - решений нет
4) x² = 361
x² = 19²
x₁ = 19 x₂ = - 19
5) (x² + 5)² = 144
(x² + 5)² = 12²
x² + 5 = 12 или x² + 5 = - 12
x² = 7 x² = - 17 - решений нет
x₁ =√7
x₂ = - √7
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Verified answer
1)![\sqrt{37} =\sqrt{6^{2}+1 }\approx6+\frac{1}{2*6}\approx6+\frac{1}{12}\approx6+0,08\approx6,08 \sqrt{37} =\sqrt{6^{2}+1 }\approx6+\frac{1}{2*6}\approx6+\frac{1}{12}\approx6+0,08\approx6,08](https://tex.z-dn.net/?f=%5Csqrt%7B37%7D%20%3D%5Csqrt%7B6%5E%7B2%7D%2B1%20%7D%5Capprox6%2B%5Cfrac%7B1%7D%7B2%2A6%7D%5Capprox6%2B%5Cfrac%7B1%7D%7B12%7D%5Capprox6%2B0%2C08%5Capprox6%2C08)
2) √16641 = 129
3) x² = - 40
- 40 < 0 - решений нет
4) x² = 361
x² = 19²
x₁ = 19 x₂ = - 19
5) (x² + 5)² = 144
(x² + 5)² = 12²
x² + 5 = 12 или x² + 5 = - 12
x² = 7 x² = - 17 - решений нет
x₁ =√7
x₂ = - √7
x²=361;x=±19
(x²+5)²=144
1)x²+5=12
x²=7;x=±√7
2)x²+5=-12;x€∅