Free Practice Question
PS · Problem Solving
505-555
Algebra
If , which of the following must be true?
Answer Choices
Correct answer marked belowa = 6 or b = 0
Correct
B
a = 0 and b = 4
C
b = 0 or a = 4
D
a = 0 or b = 6
E
a = 6 and b = 4
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Explanation
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Official Explanation
Official
To solve the equation , we first simplify it.
Distributing gives us , which simplifies to .
We can factor this equation as . This product equals zero if either or , which means . Therefore, the solutions are or .…
Distributing gives us , which simplifies to .
We can factor this equation as . This product equals zero if either or , which means . Therefore, the solutions are or .…
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Comments
6
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M
MeghnaFeb 9, 2025
thanksss
B
BMar 8, 2025
Amazing
D
DaryaJan 28, 2025
Can you explain more?
C
ColeApr 11, 2025
Great
S
SamriddhiApr 21, 2025
finally understood this
R
RohanMar 15, 2025
thanks
What this question tests
What it tests
Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.
Common trap
Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.
Details
Difficulty
505-555
Type
PS
Category