Question

−21:|x|=0,07−7,07 Ответ: x1= x2= (первым запиши меньший корень).

Answer 1

-21:|x| = -7
|x| =  $\frac{21}{7}$
x1 = -3
x2 = 3

Answer 2

To solve the equation, we need to isolate the absolute value expression and then solve for the variable "x." Let's go step-by-step:

Step 1: Isolate the absolute value expression. −21:|x| = 0.07 − 7.07

Step 2: Move the constants to one side of the equation: −21:|x| + 7.07 = 0.07

Step 3: Subtract 7.07 from both sides: −21:|x| = 0.07 − 7.07

Step 4: Calculate the value on the right-hand side: −21:|x| = -7

Step 5: Divide by −21 (which is equivalent to multiplying by −1/21) to isolate the absolute value: | x | = -7 / (-21)

Step 6: Simplify the right-hand side: | x | = 7 / 21

Step 7: Simplify the fraction: | x | = 1/3

Now, we have an absolute value equation: |x| = 1/3

To solve for "x," we need to consider two cases: one where the absolute value is positive and another where it is negative.

Case 1: x is positive: x = 1/3

Case 2: x is negative: -x = 1/3 x = -1/3

So, the solutions are x1 = -1/3 (the smaller root) and x2 = 1/3 (the larger root).