Question

9x*3-6x*2+x=0 РЕШИТЕ ПОЖАЛУЙСТА )

Answer 1

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Answer 2

Заменим 3^x=a
Получим
3a^2-10a+3=0
Решаем
D=100-4*3*3=64
a1=1/3,⇒x1=-1
a2=3,⇒x2=1

Answer 3

Solving the Equation 9x*3-6x*2+x=0

To solve the equation 9x^3 - 6x^2 + x = 0, we can factor out the common term x to simplify the equation and then solve for x.

Step 1: Factor out the common term x We can factor out x from each term in the equation: 9x^3 - 6x^2 + x = x(9x^2 - 6x + 1)

Step 2: Solve for x Now, we can solve for x by setting each factor equal to zero: x = 0 or 9x^2 - 6x + 1 = 0

Step 3: Solve the quadratic equation We can solve the quadratic equation 9x^2 - 6x + 1 = 0 using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a)

where a = 9, b = -6, and c = 1.

Solution to the Quadratic Equation

Using the quadratic formula, we can calculate the solutions for x:

x = (-(-6) ± √((-6)^2 - 4*9*1)) / (2*9) x = (6 ± √(36 - 36)) / 18 x = (6 ± √0) / 18 x = (6 ± 0) / 18

So, the solutions for x are: x = 1/3

Therefore, the solutions to the equation 9x^3 - 6x^2 + x = 0 are: x = 0, x = 1/3

This provides the solution to the given equation.