Question

Y=|x(x-1)-5x решите ​

Answer 1

Ответ: у=х²-х-5х

у=х²-6х

Answer 2

To solve the equation Y = |x(x - 1) - 5x|, we need to find the values of x that satisfy the equation.

Step 1: Simplify the expression inside the absolute value:

x(x - 1) - 5x = x^2 - x - 5x = x^2 - 6x

Step 2: Rewrite the equation without the absolute value:

Y = |x^2 - 6x|

Step 3: Set the expression inside the absolute value equal to both positive and negative values:

1. x^2 - 6x = Y
2. x^2 - 6x = -Y

Step 4: Solve for x in each equation:

1. x^2 - 6x = Y

To solve for x, we complete the square:

x^2 - 6x + (6/2)^2 = Y + (6/2)^2 x^2 - 6x + 9 = Y + 9 (x - 3)^2 = Y + 9

Now, we take the square root of both sides:

x - 3 = ±√(Y + 9)

Solve for x:

x = 3 ± √(Y + 9)

2. x^2 - 6x = -Y

Follow the same steps as above:

x^2 - 6x + (6/2)^2 = -Y + (6/2)^2 x^2 - 6x + 9 = -Y + 9 (x - 3)^2 = -Y + 9

Take the square root of both sides:

x - 3 = ±√(-Y + 9)

Solve for x:

x = 3 ± √(-Y + 9)

So the solutions for x are given by:

x = 3 + √(Y + 9) x = 3 - √(Y + 9) x = 3 + √(-Y + 9) x = 3 - √(-Y + 9)

Depending on the value of Y, you will have different sets of solutions for x.