Question

1). (x+6)(x-3)-(x+3)(x+9)=9;​

Answer 1

Ответ:

(х+6)(х-3)-(х+3)(х+9)=9

(х^2-3x+6x-18) - (x^2+9x+3x+27)=9

х^2-3x+6x-18-x^2-9x-3x-27=9

-9x=54/(-9)

x=6

Объяснение:

Answer 2

Let's solve the given equation step by step:

1. Expand the expressions: (x + 6)(x - 3) - (x + 3)(x + 9) = 9

Expanding the first set of parentheses: (x * x) + (x * -3) + (6 * x) + (6 * -3) - (x + 3)(x + 9) = 9

Expanding the second set of parentheses: (x * x) + (x * -3) + (6 * x) + (6 * -3) - (x * x) - (x * 9) + (3 * x) + (3 * 9) = 9

Simplifying the expression further: x^2 - 3x + 6x - 18 - x^2 - 9x + 3x + 27 = 9

Combining like terms: -3x + 6x - 9x + 3x + 9x^2 - 18 + 27 - 9 = 9

Simplifying: 6x^2 - 3 = 9

2. Move all the terms to one side of the equation: 6x^2 - 3 - 9 = 0

Simplifying: 6x^2 - 12 = 0

3. Divide the equation by the common factor (6): x^2 - 2 = 0

4. Add 2 to both sides of the equation: x^2 = 2

5. Take the square root of both sides: x = ±√2

Therefore, the solutions to the equation (x + 6)(x - 3) - (x + 3)(x + 9) = 9 are x = √2 and x = -√2.