1) 4x² - √(8x + 5) = 4x² + 4x + 1
√(8x + 5) = -4x - 1
8x + 5 = 16x² + 8x + 1
16x² = 4
x² = 0,25
x₁ = -0,5
x₂ = 0,5
проверим:
x = -0,5
√(1 - √(-4 + 5)) = -1 + 1
√(1 - 1) = 0
0 = 0
верно
x = 0,5
√(1 - √(4 + 5)) = 1 + 1
√(1 - 3) = 2 - не верно, под первым корнем отрицательное выражение
Ответ: -0,5
![\frac{ \sqrt[12]{a^{10}} * \sqrt[12]{b^6} }{ \sqrt[12]{a^{16}b^8} } * \frac{ \sqrt[12]{a^6} }{ \sqrt[12]{a^3b^9} } = \sqrt[12]{ a^{10+6-16-3}b^{6-8-9} } = \sqrt[12]{a^{-3}b^{-11}} = \frac{1}{ \sqrt[12]{a^3b^{11}} }](https://tex.z-dn.net/?f=+%5Cfrac%7B+%5Csqrt%5B12%5D%7Ba%5E%7B10%7D%7D+%2A+%5Csqrt%5B12%5D%7Bb%5E6%7D+%7D%7B+%5Csqrt%5B12%5D%7Ba%5E%7B16%7Db%5E8%7D+%7D+%2A+%5Cfrac%7B+%5Csqrt%5B12%5D%7Ba%5E6%7D+%7D%7B+%5Csqrt%5B12%5D%7Ba%5E3b%5E9%7D+%7D+%3D+%5Csqrt%5B12%5D%7B+a%5E%7B10%2B6-16-3%7Db%5E%7B6-8-9%7D+%7D+%3D+%5Csqrt%5B12%5D%7Ba%5E%7B-3%7Db%5E%7B-11%7D%7D+%3D+%5Cfrac%7B1%7D%7B+%5Csqrt%5B12%5D%7Ba%5E3b%5E%7B11%7D%7D+%7D+ "\frac{ \sqrt[12]{a^{10}} * \sqrt[12]{b^6} }{ \sqrt[12]{a^{16}b^8} } * \frac{ \sqrt[12]{a^6} }{ \sqrt[12]{a^3b^9} } = \sqrt[12]{ a^{10+6-16-3}b^{6-8-9} } = \sqrt[12]{a^{-3}b^{-11}} = \frac{1}{ \sqrt[12]{a^3b^{11}} }")