Question

0.3|x|=1.8:6Математика​

Answer 1

0.3|х|=0.3

|х|=0.3:0.3

|х|=1

х=±1

Ответ:±1

Answer 2

To solve the equation 0.3|x| = 1.8, we need to isolate the absolute value expression |x| on one side of the equation. The absolute value of a number can be positive or negative, so we'll consider both cases.

Case 1: x is positive (x ≥ 0) In this case, |x| = x, and the equation becomes: 0.3x = 1.8

Now, let's solve for x: x = 1.8 / 0.3 x = 6

Case 2: x is negative (x < 0) In this case, |x| = -x, and the equation becomes: 0.3(-x) = 1.8

Now, let's solve for -x (we'll consider -x to avoid confusion with the absolute value notation): -x = 1.8 / 0.3 -x = 6

However, we want to find the value of x, not -x. To find x, we need to multiply both sides by -1: x = -6

So, the equation has two solutions: x = 6 and x = -6.