Question

3x² - 12x = 0 pls help me

Answer 1

Ответ:

$3 {x}^{2} - 12x = 0 \\ 3x(x - 4) = 0 \\ 3x = 0 \\ x = 0 \div 3 \\ x = 0$

$x - 4 = 0 \\ x = 0 + 4 \\ x = 4$

Answer 2

Ответ:

x1 = 0, x2=4

Пошаговое объяснение:

Выносим за скобки общий множитель x > x(3x-4)=0

Если произведение равно 0, то как минимум один из множителей равен 0 >

x=0 , x-4=0

x=0

x=4

Answer 3

To solve the equation 3x² - 12x = 0, we can use the quadratic formula or factor out the common term.

Using the Quadratic Formula:

The quadratic formula is used to find the solutions of a quadratic equation of the form ax² + bx + c = 0. In this case, a = 3, b = -12, and c = 0.

The quadratic formula is given by:

x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values, we get:

x = (-(-12) ± √((-12)² - 4 * 3 * 0)) / (2 * 3)

Simplifying further:

x = (12 ± √(144 - 0)) / 6

x = (12 ± √144) / 6

x = (12 ± 12) / 6

This gives us two solutions:

x₁ = (12 + 12) / 6 = 24 / 6 = 4

x₂ = (12 - 12) / 6 = 0 / 6 = 0

Therefore, the solutions to the equation 3x² - 12x = 0 are x = 4 and x = 0.

Fact-checking the Answer:

The answer provided above is derived using the quadratic formula. The quadratic formula is a well-known method for solving quadratic equations, and it is widely used in mathematics and algebra. The formula has been verified and used in various mathematical contexts, including solving quadratic equations with real coefficients. The formula has been extensively studied and is considered a fundamental tool in algebraic problem-solving.

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