Question

5/12|х|-3,8+1/9|х|=0

Answer 1

5/12|х|-3,8+1/9|х|=0

(5/12-1/9) |Х| = - 3,8

((20-3) / 36) |Х| = - 3,8

(17/36) |Х| = - 3,8

Х=-3,8*38/17

Х=8,05

Ответ: 8,05

Answer 2

To solve the equation, we need to find the value of the variable "x" that satisfies the equation:

$\frac{5}{12} |x| - 3.8 + \frac{1}{9} |x| = 0$

Step 1: Combine like terms involving "x":

To do this, first, let's find a common denominator for the fractions. The common denominator for 12 and 9 is 36.

$\frac{5}{12} |x|$ can be written as $\frac{5}{12} \cdot |x| \cdot \frac{3}{3} = \frac{15}{36} |x|$

$\frac{1}{9} |x|$ can be written as $\frac{1}{9} \cdot |x| \cdot \frac{4}{4} = \frac{4}{36} |x|$

Now, the equation becomes:

$\frac{15}{36} |x| - 3.8 + \frac{4}{36} |x| = 0$

Step 2: Combine the fractions:

$\frac{15}{36} |x| + \frac{4}{36} |x| = \frac{19}{36} |x|$

The equation becomes:

$\frac{19}{36} |x| - 3.8 = 0$

Step 3: Isolate the absolute value expression:

$\frac{19}{36} |x| = 3.8$

Step 4: Solve for the absolute value:

$|x| = \frac{3.8}{\frac{19}{36}} = \frac{3.8 \times 36}{19}$

$|x| = \frac{72.8}{19}$

$|x| = 3.82105...$

Step 5: Solve for "x":

Since $|x| = 3.82105...$, this means that $x$ can be either positive or negative 3.82105...:

$x = 3.82105...$ or $x = -3.82105...$

So, the solution to the equation is:

$x = 3.82105...$ or $x = -3.82105...$