Question

Find a natural number whose square
when diminished by 84 is equal to
thrice of 8 more than the number *
O
09
O
-12
O 12​

Answer 1

Answer:

9 or -12

Step-by-step explanation:

let natural no. be x

A.T.Q.

${x}^{2} - 84 = 3(x + 8)$

${x}^{2} - 84 = 3x + 24$

${x}^{2} - 3x - 108 = 0$

$(x - 9)(x + 12)$

$x = 9 \: or \: x = - 12$