Question

-0,8/1,2x+2,8=3/4x-2

Answer 1

Превращаем дроби в более рациональные
-2/3х + 2,8 = 3/4х -2
2/3х+3/4х=2+2,8
8х+9х/12=4,8
17/12х=4,8
17х=4,8*12
х=4,8*12/17
х=57,6/17=576/170=288/85

Answer 2

To solve the equation, let's first simplify and rearrange it:

Given equation: -0.8/(1.2x) + 2.8 = (3/4)x - 2

Step 1: Get rid of the fraction on the left side by multiplying both sides by 1.2x (the common denominator for -0.8 and 1.2x):

-0.8 + 2.8(1.2x) = (3/4)x(1.2x) - 2(1.2x)

Step 2: Simplify both sides:

-0.8 + 2.8(1.2x) = (3/4)(1.2x^2) - 2(1.2x)

Step 3: Distribute and further simplify:

-0.8 + 3.36x = (3/5)x^2 - 2.4x

Step 4: Move all the terms to one side to set the equation to zero:

(3/5)x^2 - 2.4x - 3.36x + 0.8 = 0

Step 5: Combine like terms:

(3/5)x^2 - 5.76x + 0.8 = 0

Now, we have a quadratic equation in the form of ax^2 + bx + c = 0, where a = 3/5, b = -5.76, and c = 0.8.

Step 6: To solve the quadratic equation, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

Substituting the values:

x = (5.76 ± √((-5.76)^2 - 4 * (3/5) * 0.8)) / (2 * 3/5)

x = (5.76 ± √(33.1776 - 0.96)) / (6/5)

x = (5.76 ± √32.2176) / (6/5)

Step 7: Calculate the square root:

x = (5.76 ± 5.676) / (6/5)

Now, we have two possible solutions:

Solution 1:

x = (5.76 + 5.676) / (6/5)

x = 11.436 / (6/5)

x = 11.436 * (5/6)

x = 9.53

Solution 2:

x = (5.76 - 5.676) / (6/5)

x = 0.084 / (6/5)

x = 0.084 * (5/6)

x = 0.07

So, the solutions to the equation are x = 9.53 and x = 0.07.