Question

|x|+9.25=11.25 решить уравнение

Answer 1

|x|+9.25=11.25

|x| = 2

х₁ = 2

х₂ = -2

Answer 2

|х| + 9,25 = 11,25

х = 11,25 - 9,25

|х| = 2

х(один)= 2

х(два) = -2

Answer 3

To solve the equation |x| + 9.25 = 11.25, you need to isolate the absolute value term and then solve for x. Remember that the absolute value of a number is equal to the number itself if the number is positive or zero, and it is equal to the negative of the number if the number is negative.

Let's go step by step:

1. Subtract 9.25 from both sides of the equation to isolate the absolute value term: |x| = 11.25 - 9.25 |x| = 2

2. Now, we have two cases to consider:

   Case 1: x is positive or zero (x ≥ 0) If x is positive or zero, |x| = x, so we have: x = 2

   Case 2: x is negative (x < 0) If x is negative, |x| = -x, so we have: -x = 2

   To solve for x in this case, multiply both sides by -1 to isolate x: x = -2

So the solutions to the equation are x = 2 and x = -2.