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twenty times a positive integer is less than its square by 96. What is the integer ?
Answer & Solution
Correct Answer:
Option
B
Let the integer be x
Them,
$$\eqalign{ & \Leftrightarrow {x^2} - 20x = 96 \cr & \Leftrightarrow {x^2} - 20x - 96 = 0 \cr & \Leftrightarrow \left( {x + 4} \right)\left( {x - 24} \right) = 0 \cr & \Leftrightarrow x = 24 \cr} $$
Them,
$$\eqalign{ & \Leftrightarrow {x^2} - 20x = 96 \cr & \Leftrightarrow {x^2} - 20x - 96 = 0 \cr & \Leftrightarrow \left( {x + 4} \right)\left( {x - 24} \right) = 0 \cr & \Leftrightarrow x = 24 \cr} $$
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