Question

X ( x - 2 ) = 4 x - 8

Answer 1

x (x-2) = 4x - 8

x²-2x = 4x-8

x²-2x-4x+8

Решаем дискриминант:

x²-6x+8 = 0

D = b²-4ac => (-6²)-4*1*8 = 36-32 = 4

√4 = 2

x = $\frac{-b+-\sqrt{D} }{2a}$

x₁ = $\frac{6+2}{2} = 4$

x₂ = $\frac{6-2}{2} = 2$

Ответ: корни уравнения (2;4).

Answer 2

Х1=2 х2=4
вот и все нету ничего сложного

Answer 3

To solve the equation X(x - 2) = 4x - 8, we can begin by expanding the left side of the equation:

X(x - 2) = 4x - 8

X * x - X * 2 = 4x - 8

Next, we simplify the equation by distributing X to the terms inside the parentheses:

X * x - 2X = 4x - 8

Now, let's gather all the x terms on one side of the equation by subtracting 4x from both sides:

X * x - 4x - 2X = -8

Combining like terms:

(x - 4)X - 2X = -8

(x - 4 - 2)X = -8

(x - 6)X = -8

Now, we can solve for X by dividing both sides of the equation by (x - 6):

X = -8 / (x - 6)

So the solution to the equation X(x - 2) = 4x - 8 is X = -8 / (x - 6).