To solve the equation 2|x - 9| = 10, we need to isolate the absolute value term.
Dividing both sides of the equation by 2, we get |x - 9| = 5.
Now, we'll split the equation into two cases, one for the positive and one for the negative:
Case 1: x - 9 is positive.
In this case, the absolute value term becomes x - 9. So we have x - 9 = 5.
Solving for x, we get x = 14.
Case 2: x - 9 is negative.
In this case, the absolute value term becomes -(x - 9), which simplifies to -x + 9. So we have -x + 9 = 5.
Solving for x, we get x = 4.
Therefore, the solutions to the equation 2|x - 9| = 10 are x = 4 and x = 14.
Answer: A. x = 4, 14
Solve the equation. 2|x - 9| = 10 Select the correct choice and, if necessary, fill in the answer box in your choice below.
O A. x = (Simplify your answer. Use a comma to separate answers as needed.)
OB. There is no solution.
1 answer
1 answer