|х|-(-17/20)=-0,4 помогите пожалуйсто!!! Очень срочно!! Буду очень благодарна!
Ответы
Ответ:
Пошаговое объяснение:
To solve the equation, we can simplify the left-hand side using the rules of absolute value and negative signs:
|х| - (-17/20) = -0.4
|х| + 17/20 = -0.4
Now we can isolate the absolute value term by subtracting 17/20 from both sides:
|х| = -0.4 - 17/20
|х| = (-8/20) - (17/20)
|х| = -25/20
We can then solve for the value of x by considering the two possible cases for the absolute value of x:
Case 1: x is positive
If x is positive, then |x| = x, so we have:
x = -25/20
Simplifying, we get:
x = -5/4
So one solution to the equation is x = -5/4.
Case 2: x is negative
If x is negative, then |x| = -x, so we have:
-x = -25/20
Multiplying both sides by -1, we get:
x = 25/20
Simplifying, we get:
x = 5/4
So another solution to the equation is x = 5/4.
Therefore, the equation has two solutions: x = -5/4 and x = 5/4.