Question
What value or values of x satisfy 2|x + 5.3| = 4.2?
x can only equal –3.2.
x can only equal 7.4.
x can equal –3.2 or –7.4.
x can equal –3.2 or 7.4.
x can only equal –3.2.
x can only equal 7.4.
x can equal –3.2 or –7.4.
x can equal –3.2 or 7.4.
Answers
GPT 3.5
None of the options provided are correct.
To solve the equation 2|x + 5.3| = 4.2, we first remove the coefficient of 2 by dividing both sides by 2: |x + 5.3| = 2.1.
Now, we consider two cases:
1. x + 5.3 = 2.1
x = −3.2
2. -(x + 5.3) = 2.1
-x - 5.3 = 2.1
-x = 7.4
x = -7.4
Therefore, the values of x that satisfy the equation are x = −3.2 or x = −7.4.
To solve the equation 2|x + 5.3| = 4.2, we first remove the coefficient of 2 by dividing both sides by 2: |x + 5.3| = 2.1.
Now, we consider two cases:
1. x + 5.3 = 2.1
x = −3.2
2. -(x + 5.3) = 2.1
-x - 5.3 = 2.1
-x = 7.4
x = -7.4
Therefore, the values of x that satisfy the equation are x = −3.2 or x = −7.4.