Question

3х ^2– 12х = 0 2х^2 + 6х = 01,8х^2 = 0х^2 + 9 = 0(х + 1)(х – 2) = 0х ^2– 16 = 0х^2 = 3х3х^2 + 7 = 12х + 7х ^2– 4х + 3 = 0 7х^2 – 4 = 0 3х^2 – х + 2 = 0 Х^2 + 6 = 5хх^2 означает «х» в квадрате (или «х» во 2 степени)

Answer 1

2. $3x ^2 - 12x = 0 \\ 3x(x - 4) = 0 \\ 3x = 0 \\ x1 = 0 \\ x - 4 = 0 \\ x = 4$

Answer 2

It seems like you have written down several equations and expressions involving "x." Let's go through them one by one:

1. 3x^2 – 12x = 0: This is a quadratic equation. We can factor out the common term "3x": 3x(x – 4) = 0 The solutions are x = 0 and x = 4.

2. 2x^2 + 6x = 0: Again, this is a quadratic equation. We can factor out the common term "2x": 2x(x + 3) = 0 The solutions are x = 0 and x = -3.

3. 1.8x^2 = 0: This equation can be simplified by dividing both sides by 1.8: x^2 = 0 The solution is x = 0.

4. x^2 + 9 = 0: This is a quadratic equation, but it has no real solutions since the square of any real number is non-negative (greater than or equal to zero). So, x^2 + 9 can never be zero for real values of x.

5. (x + 1)(x – 2) = 0: This is a quadratic equation in factored form. The solutions are x = -1 and x = 2.

6. x^2 – 16 = 0: This is a difference of squares, and it can be factored as follows: (x + 4)(x – 4) = 0 The solutions are x = 4 and x = -4.

7. x^2 = 3x: This is a quadratic equation, and we can rearrange it to get: x^2 - 3x = 0 Factor out the common term "x": x(x - 3) = 0 The solutions are x = 0 and x = 3.

8. 3x^2 + 7 = 12x + 7: Move all terms to one side of the equation: 3x^2 - 12x = 0 Factor out the common term "3x": 3x(x - 4) = 0 The solutions are x = 0 and x = 4.

9. x^2 – 4x + 3 = 0: This is a quadratic equation, and it can be factored as follows: (x - 3)(x - 1) = 0 The solutions are x = 3 and x = 1.

10. 7x^2 – 4 = 0: This is a quadratic equation, and we can solve it using the quadratic formula or factoring (if possible). The solutions are two complex numbers.

11. x^2 + 6 = 5x: This is a quadratic equation, and we can rearrange it to get: x^2 - 5x + 6 = 0 Factor the quadratic expression: (x - 2)(x - 3) = 0 The solutions are x = 2 and x = 3.

Regarding the statement "x^2 означает «х» в квадрате (или «х» во 2 степени)," it's correct. x^2 represents "x" squared or "x" raised to the power of 2.