What are the solutions of the following equation?
2|4x + 5| = 0
Choose 1 answer:
A
x = -4/5 or x = 5/4
B
Only x = -5/4
C
Only x = -4/5
D
There are no solutions.
Question & Answer
What are the solutions of the following equation? 2|4x + 5| = 0
1 Answer
Verified archiveTo solve the equation ( 2|4x + 5| = 0 ), we start by isolating the absolute value:
1. Divide both sides by 2:
[
|4x + 5| = 0
]
2. The absolute value is equal to zero only when the expression inside is zero:
[
4x + 5 = 0
]
3. Solve for ( x ):
[
4x = -5
]
[
x = -frac{5}{4}
]
Thus, the only solution is ( x = -frac{5}{4} ).
The correct answer is B: Only ( x = -5/4 ).