Question

X(x+4)=4 решите пожалуйста

Answer 1

X^2+4x-4=0
D=4+4=8
x1=-2+2корня из 2
х2=-2-2корня из 2

Answer 2

Problem Statement

The equation to solve is: X(x+4)=4.

Solution

To solve the equation X(x+4)=4, we can start by expanding the left side of the equation:

X(x+4) = X*x + X*4 = X^2 + 4X.

Now we have the equation X^2 + 4X = 4.

To solve this quadratic equation, we can set it equal to zero by subtracting 4 from both sides:

X^2 + 4X - 4 = 0.

Now we can solve this quadratic equation using various methods, such as factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula to find the solutions.

The quadratic formula is given by:

X = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation.

In our case, a = 1, b = 4, and c = -4.

Plugging these values into the quadratic formula, we get:

X = (-4 ± √(4^2 - 4*1*(-4))) / (2*1).

Simplifying further:

X = (-4 ± √(16 + 16)) / 2.

X = (-4 ± √32) / 2.

X = (-4 ± 4√2) / 2.

Simplifying the expression:

X = -2 ± 2√2.

Therefore, the solutions to the equation X(x+4)=4 are:

X = -2 + 2√2 and X = -2 - 2√2.

Note: The solutions can also be written as X = -2(1 ± √2).

Let me know if you need any further assistance!