Question

X(x-4)+(2-x)(2x+x)=-6​

Answer 1

Объяснение:

2

вот так вот надо-2x+2x

Answer 2

Let's solve the given equation step by step:

1. Expand the expressions on both sides of the equation: X(x-4) + (2-x)(2x+x) = -6

Expanding the left-hand side: X(x) + X(-4) + (2-x)(2x) + (2-x)(x) = -6

2. Simplify the terms: X^2 - 4X + (2-x)(2x) + (2-x)(x) = -6

3. Expand the remaining expressions: X^2 - 4X + (4x - x^2) + (2x - x^2) = -6

4. Combine like terms: X^2 - 4X + 4x - x^2 + 2x - x^2 = -6

5. Simplify further: X^2 - x^2 - x^2 - 4X + 4x + 2x = -6

6. Combine like terms again: -X^2 - 2X + 6x = -6

7. Move all terms to one side of the equation: -X^2 - 2X + 6x + 6 = 0

8. The equation is now in the standard quadratic form (ax^2 + bx + c = 0). To solve for X, we can use the quadratic formula: X = (-b ± √(b^2 - 4ac)) / 2a

In this case, a = -1, b = -2, and c = 6. Substituting these values into the quadratic formula:

X = (2 ± √((-2)^2 - 4(-1)(6))) / 2(-1) X = (2 ± √(4 + 24)) / -2 X = (2 ± √28) / -2 X = (2 ± 2√7) / -2 X = -1 ± √7

So the two solutions for X are:

1. X = -1 + √7
2. X = -1 - √7

Please note that the equation has two solutions since it is a quadratic equation.