Question

Х(х-4)=2+(х-1)^2 Помогите решить, пожалуйста)

Answer 1

Х(х-4)=2+(х-1)^2
х^2-4х=2+х^2-2х+1
х^2-4х-х^2+2х=2+1
4х+2х=3
6х=3
х=2 6÷3=2

Answer 2

X*x-4x=2+2x-2
x*x-4x=2x
x*x-6x=0
x(x-6)=0
x=0
x=6

Answer 3

Solving the Equation

To solve the equation x(x-4) = 2 + (x-1)^2, we can start by expanding and simplifying the equation.

Expanding the equation: x(x-4) = 2 + (x-1)^2 x^2 - 4x = 2 + x^2 - 2x + 1

Simplifying the equation: x^2 - 4x = x^2 - 2x + 3

Subtracting x^2 from both sides: -4x = -2x + 3

Subtracting -2x from both sides: -2x = 3

Dividing by -2: x = -3/2

So, the solution to the equation x(x-4) = 2 + (x-1)^2 is x = -3/2.

This solution is obtained by simplifying the given equation step by step.

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