95 7/30-93 5/18=95 21/90-93 25/90=94 111/90-93 25/90=1 86/90=1 43/45
1 43/45*2 1/4=88/45*9/4=22/5=4,4
4,4+0,373=4,773
4,773:0,2=23,865
г)
b₁ + b₂ + b₃ = 7
b₁b₂b₃ = 8
bₙ = b₁ qⁿ⁻¹
b₁ * b₁q * b₁q² = b₁³ q³ = 8
b₁q = 2
b₁ + b₁q + b₁q² = b₁ + b₁q + b₁q*q = b₁ + 2 + 2q = 7
b₁ + 2q = 5
b₁ = 5 - 2q
(5 - 2q)q = 2
2q² - 5q + 2 = 0
D = 25 - 16 = 9
q₁₂ = (5 +- 3)/4 = 2 и 1/2
1. q = 2 b₁ = 5 - 2q = 5 - 4 = 1
2. q = 1/2 b₁ = 5 - 1 = 4
б)
b₂ = 10
b₃ + b₄ = 60
b₃ = b₂q
b₄ = b₃q = b₂q*q = b₂q²
b₂q + b₂q² = 10(q + q²) = 60
q² + q - 6 = 0
D = 1 + 24 = 25
q₁₂ = (-1 +- 5)/2 = 2 и -3
1. q = 2 b₂ = b₁q = 2b₁ = 10 b₁ = 5
2. q=-3 b₂ = b₁q = -3b₁ = 10 b₁ = - 10/3
5 × 5 × 5 − 70 + 80 × 60 = 4 855