Question

3 1/4 - |×| = - 1 5/12

Answer 1

Ответ:

Пошаговое объяснение:

3 1/4-|x|=-1 5/12

|x|=3 1/4+1 5/12

|x|=3 3/12+1 5/12

|x|=4 8/12

|x|=4 2/3.    x1=4 2/3,    x2=-4 2/3

Answer 2

I'm not sure what you mean by "|×|." If you mean absolute value, the equation $3 \frac{1}{4} - |x| = -1 \frac{5}{12}$ can be solved as follows:

First, let's find a common denominator for the fractions involved. The common denominator of 4 and 12 is 12. Convert $3 \frac{1}{4}$ to an improper fraction:

$3 \frac{1}{4} = \frac{13}{4}$.

Similarly, $1 \frac{5}{12} = \frac{17}{12}$.

So the equation becomes:

$\frac{13}{4} - |x| = -\frac{17}{12}.$

To solve for $|x|$, isolate $|x|$ on one side of the equation:

$|x| = \frac{13}{4} + \frac{17}{12}.$

To add the fractions, find a common denominator, which is 12:

$\frac{13}{4} + \frac{17}{12} = \frac{39}{12} + \frac{17}{12} = \frac{56}{12} = \frac{7}{3}.$

So, $|x| = \frac{7}{3}$.

Now, $x$ can be either $+\frac{7}{3}$ or $-\frac{7}{3}$ since $|x|$ represents the distance of $x$ from 0 on the number line.