Question

3x^2-x=0 помогите пж срочно

Answer 1

Решение:
3x^2-x=0
Выносим x за скобку:
x(3x-1)=0
т.к. произведение равно 0, то и один из множителей равен нулю. Рассмотрим все варианты:
1) x=0
2) 3x-1=0
3x=1
x=1/3
Ответ: 0, 1/3

Answer 2

Solving the Equation 3x^2 - x = 0

To solve the equation 3x^2 - x = 0, we can use the quadratic formula or factorization. Let's solve it step by step.

1. Using the Quadratic Formula: - The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions for x are given by: ``` x = (-b ± √(b^2 - 4ac)) / (2a) ``` - For the equation 3x^2 - x = 0, we have a = 3, b = -1, and c = 0. - Plugging these values into the quadratic formula, we get: ``` x = (-(-1) ± √((-1)^2 - 4*3*0)) / (2*3) = (1 ± √(1)) / 6 = (1 ± 1) / 6 ``` - So, the solutions for x are: ``` x = (1 + 1) / 6 = 2 / 6 = 1/3 x = (1 - 1) / 6 = 0 / 6 = 0 ```

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2. Using Factorization: - We can also factorize the equation 3x^2 - x = 0. - Factoring out x, we get: ``` x(3x - 1) = 0 ``` - Setting each factor equal to zero gives us the solutions: ``` x = 0 3x - 1 = 0 3x = 1 x = 1/3 ```

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Conclusion

The solutions to the equation 3x^2 - x = 0 are x = 0 and x = 1/3.