Twenty times a positive integer is less than its square by 96. What is

1.	Twenty times a positive integer is less than its square by 96. What is the integer1. 242. 203. 304. 14
Answer» Correct Answer - Option 1 : 24 Let the positive integer be 'x' Then, 20 times integer = 20x Square of integer = x² Twenty times a positive integer is less than its square by 96 x² = 20x + 96 ⇒ x² - 20x - 96 = 0 ⇒ x²- 24x + 4x - 96 = 0 ⇒ x ( x -24) + 4( x - 24) = 0 ⇒ (x + 4) × (x -24) = 0 ⇒ x = -4, x = 24 ∴ The positive integer is 24

Twenty times a positive integer is less than its square by 96. What is the integer1. 242. 203. 304. 14

Answer» Correct Answer - Option 1 : 24

Let the positive integer be 'x'

Then, 20 times integer = 20x

Square of integer = x²

Twenty times a positive integer is less than its square by 96

x² = 20x + 96

⇒ x² - 20x - 96 = 0

⇒ x²- 24x + 4x - 96 = 0

⇒ x ( x -24) + 4( x - 24) = 0

⇒ (x + 4) × (x -24) = 0

⇒ x = -4, x = 24

∴ The positive integer is 24

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Twenty times a positive integer is less than its square by 96. What is the integer1. 242. 203. 304. 14

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