Question

15х2+140÷2×(10+15)-200×х=1180

Answer 1

Ответ:

30+70=100

2×25=50

100÷50=2

Answer 2

To solve the equation 15x^2 + 140 ÷ 2 × (10 + 15) - 200x = 1180, follow these steps:

1. First, simplify the expression inside the parentheses: 15x^2 + 140 ÷ 2 × (25) - 200x = 1180

2. Next, calculate the value inside the parentheses: 15x^2 + 140 ÷ 2 × 25 - 200x = 1180

3. Now, simplify further by performing the division and multiplication within the expression: 15x^2 + 70 × 25 - 200x = 1180

4. Calculate the products and the result of the addition: 15x^2 + 1750 - 200x = 1180

5. Move all the terms to one side of the equation to set it equal to zero: 15x^2 - 200x + 1750 - 1180 = 0

6. Combine like terms: 15x^2 - 200x + 570 = 0

Now, you have a quadratic equation in the form of ax^2 + bx + c = 0, where a = 15, b = -200, and c = 570.

To solve for x, you can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Plug in the values: x = (-(-200) ± √((-200)^2 - 4 * 15 * 570)) / (2 * 15)

x = (200 ± √(40000 - 34200)) / 30

x = (200 ± √5800) / 30

Now, you can calculate the two possible solutions for x:

x₁ = (200 + √5800) / 30 ≈ 6.33 x₂ = (200 - √5800) / 30 ≈ 3.00

So, the solutions to the equation are approximately: x₁ ≈ 6.33 x₂ ≈ 3.00