Question

1. (х+4)²=х(х+3) 2. 10-х(5-(6+х))=х(х+3)-4х Решите пожалуйстааа)

Answer 1

(X+4)^2=x(x+3) X^2+8x+16=x^2+3x X^2-x^2+8x-3x=-16 5x=-16 X=-16/5 2.10-x(5-(6+x))=x(x+3)-4x 10-x(5-6-x)=x^2+3x-4x 10-5x+6x+x^2-x^2+x=o 10+2x=0 2x=-10 X=-5

Answer 2

Смотрите решение в прикреплённом файле.

Answer 3

Equation 1: (x + 4)² = x(x + 3) + 2

To solve this equation, we can start by expanding the left side of the equation using the formula for squaring a binomial:

(x + 4)² = x² + 2x(4) + 4² = x² + 8x + 16

Now, let's simplify the right side of the equation:

x(x + 3) + 2 = x² + 3x + 2

Now we have:

x² + 8x + 16 = x² + 3x + 2

To solve for x, we can subtract x² from both sides of the equation:

8x + 16 = 3x + 2

Next, we can subtract 3x from both sides:

8x - 3x + 16 = 2

Simplifying further:

5x + 16 = 2

To isolate x, we can subtract 16 from both sides:

5x = 2 - 16 5x = -14

Finally, we can solve for x by dividing both sides by 5:

x = -14/5

Therefore, the solution to the equation (x + 4)² = x(x + 3) + 2 is x = -14/5.

Equation 2: 10 - x(5 - (6 + x)) = x(x + 3) - 4x

To solve this equation, let's simplify both sides step by step:

Starting with the left side:

10 - x(5 - (6 + x))

First, let's simplify the expression inside the parentheses:

10 - x(5 - 6 - x)

Simplifying further:

10 - x(-1 - x)

Now, let's distribute the negative sign:

10 + x(x + 1)

Expanding the right side:

x(x + 3) - 4x

Simplifying:

x² + 3x - 4x

Combining like terms:

x² - x

Now, we have:

10 + x(x + 1) = x² - x

Expanding the left side:

10 + x² + x = x² - x

To solve for x, we can subtract x² from both sides:

10 + x = -x

Next, we can subtract x from both sides:

10 = -2x

Dividing both sides by -2:

x = -10/2

Simplifying:

x = -5

Therefore, the solution to the equation 10 - x(5 - (6 + x)) = x(x + 3) - 4x is x = -5.