Question

7,2×|3+1,25x|-70,3=-12,7​

Answer 1

Ответ:

7,2×|3+1,25x|=-12,7+70,3

7,2×|3+1,25x|=57,6

|3+1,25x|=8

3+1,25x=8

3+1,25x=-8

x=4

x=-8,8

x1=-8,8; x2=4

Answer 2

To solve the equation for x:

7.2 * |3 + 1.25x| - 70.3 = -12.7

Follow these steps:

Step 1: Add 70.3 to both sides of the equation to isolate the absolute value expression:

7.2 * |3 + 1.25x| = -12.7 + 70.3

7.2 * |3 + 1.25x| = 57.6

Step 2: Divide both sides of the equation by 7.2 to isolate the absolute value expression:

|3 + 1.25x| = 57.6 / 7.2

|3 + 1.25x| = 8

Now, we have an absolute value equation. We'll need to consider two cases: one where the expression inside the absolute value is positive and another where it's negative.

Case 1: 3 + 1.25x is positive:

3 + 1.25x = 8

Subtract 3 from both sides:

1.25x = 8 - 3

1.25x = 5

Divide both sides by 1.25:

x = 5 / 1.25

x = 4

Case 2: 3 + 1.25x is negative:

-(3 + 1.25x) = 8

-3 - 1.25x = 8

Subtract 3 from both sides:

-1.25x = 8 - 3

-1.25x = 5

Divide both sides by -1.25 (and remember that dividing by a negative number flips the inequality sign):

x = 5 / -1.25

x = -4

So, the equation has two solutions: x = 4 and x = -4.