Math, asked by Amar4174, 1 year ago

Find a natural no whose square diminished by 84is equal to thrice of 8more than the given no

Answers

Answered by LEDA
2
Let the natural no. be x
Acc . to the given conditions:
 {x}^{2} - 84 = 3(x + 8) \\  {x}^{2}  - 84 = 3x + 24   \\  {x}^{2}  - 3x - 108 = 0 \\  {x}^{2}  + 9x - 12x - 108 = 0 \\ x(x + 9) - 12(x + 9) = 0 \\ (x - 12)(x + 9) \\ x = 12 \: or \:  - 9

A natural no. can't be negative.
therefore the given no. is 12
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