все таки математика настигла огромной волной и накрыла корнями и дробными степенями ???
(x)^1/n = ⁿ√x (например x^1/3 = ∛x x^1/2 = √x)
x² - y² = (x - y)(x + y)
(x + y)² = x² + 2xy + y²
(x^n)^m = x^(nn)
x^n * x^m = x^(n+m)
ⁿ√xⁿ = x (для положительных х)
x^-1 = 1/x
1. 64^1/6 = ⁶√(2⁶) = 2
2. 27 ^2/3 = ∛ 27² = ∛ (3³)² = 3² = 9
3. 0^51/4 = 0 (0 в любой положительной степени = 0)
5. x^1/2 = (x^1/4)²
(a^1/2 - b^1/2) / (a^1/4 + b^1/4) = (a^1/4 - b^1/4)(a^1/4 + b^1/4)/(a^1/4 + b^1/4) = a^1/4 - b^1/4
4. (x^1/3 + y^1/3)² - 2∛(xy) - 1/(∛y)^-2 = x^2/3 + 2x^1/3*y^1/3 + y^2/3 - 2x^1/3*y^1/3 - y^2/3 = x^2/3
^ - степень ( x^2/3 = ∛x² икс в степени две третьих)
D = b² - 4ac
D = 1 - 4 × 6 × ( - 1) =1 + 24 = √25 = 5
x₁ = - 1 + 5/ 2×6= 4/12 = 1/3
x₂ = - 1 - 5/2×6 = - 6/12 = - 1/2
2) x² - 5x - 1 = 0
D = 25 - 4 × 1 × ( - 1) = 25 + 4 = 29
x₁ = 5 + √29/2
x² = 5 - √29/2
3) 2x² - 5x + 3 = 0
D = 25 - 4 × 2 × 3 = 25 - 24 = √1
x₁ = 5 + 1 / 4 = 6/4 = 3/2
x₂ = 5 - 1 / 4 = 1
4) x² + 3x + 1 = 0
D = 9 - 4 × 1 × 1 = 9 - 4 = √5
x₁ = - 3 + √5 / 2
x₂ = - 3 - √5/2
5) 3x² + 7x - 6 = 0
D = 49 - 4 × 3 × ( - 6) = 49 + 72 = 121
x₁ = - 7 + 11/ 6 = 4/6 = 2/3
x₂ = - 7 - 11 / 6 = -18/6 = - 3