Question

Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the give number.​

Answer 1

Answer:

Let the required number be x.

According to the question,

x

2

−84=3×(x+8)

⇒x

2

−84=3x+24

⇒x

2

−3x−84−24=0

⇒x

2

−3x−108=0

⇒x

2

−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 number so it is rejected.)

Hence, the required number is 12.

Step-by-step explanation:

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Answer 2

Answer:

Find a natural number whose square dimini