Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the give number.
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2 thoughts on “Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the give number.<br />__________________​”

1. Answer:

   [tex] – 9[/tex]

   Step-by-step explanation:

   Let the required number be x.

   According to the question,

   x2−84=3×(x+8)

   ⇒x2−84=3x+24

   ⇒x2−3x−84−24=0

   ⇒x2−3x−108=0

   ⇒x2−12x+9x−108=0

   ⇒x(x−12)+9(x−12)=0

   ⇒(x−12)(x+9)=0

   ⇒x−12=0 or x−9=0

   ⇒x=12 or x=−9(x=−9 is not a natural

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2. Answer:

   hope it’s helpful for you

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