Question

(4- x)² - x(x-3)=12​

Answer 1

Ответ:

Объяснение:

(4- x)² - x(x-3)=12​

16-8x+x²-x²+3x-12=0

-5x+4=0

-5x= -4

x=4/5

x=0.8

Answer 2

To solve the equation (4 - x)² - x(x - 3) = 12, you can follow these steps:

1. Expand and simplify both sides of the equation:

   (4 - x)² - x(x - 3) = 12

   Expand the square on the left side: (4 - x)(4 - x) - x(x - 3) = 12

   (16 - 8x + x²) - (x² - 3x) = 12

   Now, distribute the negative sign on the second term on the left side: 16 - 8x + x² - x² + 3x = 12

2. Combine like terms on the left side of the equation:

   -8x + 3x = -5x

3. Now, the equation becomes:

   16 - 5x = 12

4. Isolate the variable x by moving 16 to the other side of the equation by subtracting 16 from both sides:

   -5x = 12 - 16 -5x = -4

5. Finally, divide both sides by -5 to solve for x:

   x = (-4) / (-5) x = 4/5

So, the solution to the equation (4 - x)² - x(x - 3) = 12 is x = 4/5.