Question

(2-х)^2-х(х+1,5)=4 решить уравнение

Answer 1

Ответ:

Пошаговое объяснение:

Удачи))

Answer 2

$(2 - x {)}^{2} - x(x + 1.5) = 4 \\ 4 -4x + {x}^{2} - {x}^{2} - 1.5x = 4 \\ - 4x - 1.5x = 0 \\ - 5.5x = 0 \\ x = 0$

Answer 3

To solve the equation (2x)^2 - x(x + 1.5) = 4, follow these steps:

Step 1: Expand the terms (2x)^2 - x(x + 1.5) = 4 Simplify: 4x^2 - x^2 - 1.5x = 4

Step 2: Combine like terms 4x^2 - x^2 - 1.5x - 4 = 0

Step 3: Move all terms to one side of the equation 3x^2 - 1.5x - 4 = 0

Step 4: Solve the quadratic equation To solve the quadratic equation, you can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a

In our equation, a = 3, b = -1.5, and c = -4. Substitute these values into the formula and calculate:

x = [-(1.5) ± √((-1.5)^2 - 4 * 3 * (-4))] / (2 * 3) x = [1.5 ± √(2.25 + 48)] / 6 x = [1.5 ± √50.25] / 6

Step 5: Calculate the two solutions x = (1.5 + √50.25) / 6 ≈ 1.3125 x = (1.5 - √50.25) / 6 ≈ -1.1458

So, the solutions to the equation are approximately x ≈ 1.3125 and x ≈ -1.1458.