Question

(x + 3) ^ 2 = 2(3x - 8) срочно ответ с пояснением ​

Answer 1

Ответ:

${x}^{2} + 9 = 6x - 16$

${x}^{2} - 6x = - 25$

${x}^{2} - 6x + 25 = 0$

d = -136 < 0 нет решений

Answer 2

Ответ:

$\blacktriangleright \large \boldsymbol {} x\notin \mathbb R$

Объяснение:

• $\bf (a+b)^2=a^2+2ab+b^2.$

$(x+3)^2=2(3x-8);\\x^2+6x+9=6x-16;\\\underbrace{ x^2+9}_{ > 0} =-16\Rightarrow \\x\in\varnothing.$

Answer 3

Solving the Equation (x + 3)^2 = 2(3x - 8)

To solve the equation (x + 3)^2 = 2(3x - 8), we'll start by expanding and simplifying the left-hand side of the equation and then solving for the variable x.

Step 1: Expand and Simplify

First, expand and simplify the left-hand side of the equation (x + 3)^2: ``` (x + 3)^2 = x^2 + 6x + 9 ```

Step 2: Set Up the Equation

Now, the equation becomes: ``` x^2 + 6x + 9 = 2(3x - 8) ```

Step 3: Distribute and Simplify

Distribute the 2 on the right-hand side of the equation: ``` x^2 + 6x + 9 = 6x - 16 ```

Step 4: Rearrange the Equation

Rearrange the equation to set it equal to zero: ``` x^2 + 6x - 6x + 9 + 16 = 0 x^2 + 25 = 0 ```

Step 5: Solve for x

Now, solve for x by taking the square root of both sides: ``` x^2 = -25 x = ±√(-25) ```

The square root of a negative number results in a complex number, so the solution to the equation is: ``` x = ±5i ```

Therefore, the solutions to the equation (x + 3)^2 = 2(3x - 8) are x = 5i and x = -5i.

This is the solution to the given equation.