Question

X(x - 4)+ x - 4= 0;​

Answer 1

Ответ:

Объяснение:

x²-4x+x-4=0

x²-3x-4=0

D=-3²-4*(-4)*1=9+16=√25=5

x1=3-5/2=-2/2=-1

x2=3+5/2=8/2=4

-1;4

Answer 2

To solve the equation X(x - 4) + x - 4 = 0, you can follow these steps:

1. Distribute X through the first term on the left side of the equation:

   X(x) - X(4) + x - 4 = 0

2. Simplify the equation by combining like terms:

   X^2 - 4X + x - 4 = 0

3. Combine the x terms on the left side:

   X^2 - 4X + x - 4 = 0

4. Rearrange the terms so that it's easier to work with:

   X^2 + x - 4X - 4 = 0

5. Now, try to factor the equation if possible. In this case, it doesn't seem to easily factor, so you can use the quadratic formula:

   The quadratic formula is: X = (-b ± √(b² - 4ac)) / (2a)

   In your equation, a = 1, b = 1, and c = -4.

   X = (-1 ± √(1² - 4(1)(-4))) / (2(1))

6. Calculate the discriminant (the value inside the square root):

   Discriminant = 1² - 4(1)(-4) = 1 + 16 = 17

7. Now, use the quadratic formula to find the two possible solutions for X:

   X = (-1 ± √17) / 2

So, the solutions for the equation X(x - 4) + x - 4 = 0 are:

X = (-1 + √17) / 2 X = (-1 - √17) / 2

These are the two solutions for the given equation.