t² - 4t + 3 = 0
t = 1 или t = 3 по т. Виета
![3^{2 \sqrt{x} } =1 3^{2 \sqrt{x} } =1](https://tex.z-dn.net/?f=+3%5E%7B2+%5Csqrt%7Bx%7D+%7D+%3D1)
или
2√x = 0 2√x = 1
√x = 0 √x = 1/2
x = 0 x = 1/4
4(3ˣ - 2ˣ)(3ˣ + 2ˣ) - 13 · 2ˣ ·(3ˣ - 2ˣ) = 0
(3ˣ - 2ˣ)(4·3ˣ + 4·2ˣ - 13·2ˣ) = 0
3ˣ - 2ˣ = 0 или 4·3ˣ - 9·2ˣ = 0 в первом случае делим на 2ˣ, во втором на 9·2ˣ
(3/2)ˣ = 1 (4/9) · (3/2)ˣ = 1
x = 0 (3/2)ˣ = (3/2)²
x = 2