Question

2:(5x-1)-1=(2x-5):(4-2x) x=?

Answer 1

Ответ 7 правильно ..........

Answer 2

To solve the equation, let's follow these steps:

Step 1: Simplify the equation. Step 2: Isolate the variable x on one side of the equation. Step 3: Solve for x.

Step 1: Simplify the equation. Start by simplifying each side of the equation:

Left-hand side (LHS): 2 * (5x - 1) - 1 = 10x - 2 - 1 = 10x - 3

Right-hand side (RHS): (2x - 5) / (4 - 2x)

Step 2: Isolate the variable x on one side of the equation. To do this, we'll cross-multiply:

LHS * (4 - 2x) = RHS * (4 - 2x)

Step 3: Solve for x. Expand both sides:

(10x - 3) * (4 - 2x) = 2x - 5

Now, distribute the terms on the left side:

10x * 4 - 10x * 2x - 3 * 4 + 3 * 2x = 2x - 5

Simplify:

40x - 20x^2 - 12 + 6x = 2x - 5

Rearrange the equation:

-20x^2 + 40x + 6x - 2x - 12 + 5 = 0

Combine like terms:

-20x^2 + 44x - 7 = 0

Now, we have a quadratic equation. To solve for x, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

where a = -20, b = 44, and c = -7.

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

Discriminant (Δ) = b^2 - 4ac Δ = 44^2 - 4 * (-20) * (-7) Δ = 1936 - 560 Δ = 1376

Now, apply the quadratic formula:

x = (-(44) ± √(1376)) / (2 * (-20))

Calculate the two possible values of x:

x = (-(44) + √(1376)) / (-40) x = (-(44) - √(1376)) / (-40)

x ≈ 4.23 or x ≈ -0.33

So, the solutions for x are approximately 4.23 and -0.33.