Решите уравнение

(20 х+80 х) • (300-10 х) = 400

(20x + 80x) (300 - 10x) = 400

100x (300 - 10x) = 400

x (300 - 10x) = 4

300x - 10x² = 4

150x - 5x² = 2

5x² - 150x + 2 = 0

D = 150² - 5·4·2 = 22500 - 40 = 22460 = (2√5615) ²

x₁ = (150 + 2√5615) / 10 = 15 + √5615/5

x₂ = (150 - 2√5615) / 10 = 15 - √5615/5

Ответ: x = 15 - 0,2√5615; 15 + 0,2√5615.

(20 х+80 х) • (300-10 х) = 400

100x * (300-10x) = 400

x (300-10x) = 4

300x-10x ²-4=0

5x ²-150x+2=0

D=22500-40=22460

√D=2√5615

x1 = (150-2 √5615) / 10=15-0,5√5615

x2=15+0,5 √5615