Question

Найдите произведение корней уравнения! Прошу помогите срочно!

Answer 1

A3

81^x+0.5 - 10•9^x + 1 = 0

9•81^x - 10•9^x +1 = 0

9^x = t, t > 0

9t²-10t+1 = 0

Так как a+b+c = 0(9-10+1 = 0):

t1 = 1

t2 = c/a = 1/9

9^x = 1

x = 0

9^x = 1/9

x = -1

0•(-1) = 0

1)

A4.

√x - 4⁴√x +3 = 0

⁴√x = a, a >= 0

a²-4a+3 = 0

a²-a-3a+3 = 0

a(a-1)-3(a-1) = 0

(a-1)(a-3) = 0

[a = 1

[a = 3

⁴√x = 1

x = 1

⁴√x = 3

x = 81

81•1 = 81

1)