This one seems pretty straightforward. We're given that[(x - 5)(x + 2)]/[(x + 5)(x - 2)] = 1Multiply the equation by the denominator, and we get(x - 5)(x + 2) = (x + 5)(x - 2)Use FOIL to multiply each side out, and we see thatx^2 - 3x - 10 = x^2 + 3x - 10Subtract (x^2) and add 10 to both sides, and we're left with-3x = 3xfor which only one solution is possible:x = 0Since x = 0, Quantity A is 5Quantity B is 4...so the answer is (A).
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This one seems pretty straightforward. We're given that
[(x - 5)(x + 2)]/[(x + 5)(x - 2)] = 1
Multiply the equation by the denominator, and we get
(x - 5)(x + 2) = (x + 5)(x - 2)
Use FOIL to multiply each side out, and we see that
x^2 - 3x - 10 = x^2 + 3x - 10
Subtract (x^2) and add 10 to both sides, and we're left with
-3x = 3x
for which only one solution is possible:
x = 0
Since x = 0,
Quantity A is 5
Quantity B is 4
...so the answer is (A).
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