Question

2х(X-1 1/10)+4 1/5=5 1/3​

Answer 1

Пошаговое объяснение:

2×(х-1 1/10)+4 1/5=5 1/3

2(х-1 1/10)+4 1/5=5 1/3

2(х-11/10)+21/5=16/3

2х-11/5+21/5=16/3

2х+2=16/3

2х=16/3-2

2х=10/3

Х=5/3=1 2/3

Answer 2

Let's solve the equation step by step:

2x(X - 1 1/10) + 4 1/5 = 5 1/3

First, let's simplify the fractions:

1/10 = 3/30 4 1/5 = 21/5 5 1/3 = 16/3

Now the equation looks like this:

2x(X - 3/30) + 21/5 = 16/3

Next, distribute the 2x on the left side of the equation:

2x * X - 2x * (3/30) + 21/5 = 16/3

Now, simplify the fractions in the equation:

2x^2 - (2x * 3/30) + 21/5 = 16/3

Simplify the fraction in the parentheses:

2x^2 - (x/5) + 21/5 = 16/3

To get rid of the fractions, multiply both sides of the equation by 15 (the least common multiple of 5 and 3) to clear the denominators:

15 * (2x^2 - (x/5) + 21/5) = 15 * (16/3)

Now, simplify the equation:

15 * 2x^2 - 15 * (x/5) + 15 * (21/5) = 16 * 5

30x^2 - 3x + 63 = 80

Now, subtract 80 from both sides of the equation:

30x^2 - 3x + 63 - 80 = 0

30x^2 - 3x - 17 = 0

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

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 30, b = -3, and c = -17. Plug these values into the formula:

x = (-(-3) ± √((-3)² - 4 * 30 * (-17))) / (2 * 30)

x = (3 ± √(9 + 2040)) / 60

x = (3 ± √2049) / 60

Now, calculate the square root of 2049:

√2049 ≈ 45.25

So the solutions for x are:

x₁ = (3 + 45.25) / 60 ≈ 48.25 / 60 ≈ 0.8042 x₂ = (3 - 45.25) / 60 ≈ -42.25 / 60 ≈ -0.7042

So, the solutions to the equation are approximately:

x₁ ≈ 0.8042 x₂ ≈ -0.7042