Three times the square of a natural number when decreased by 4 times the number is equal to 50 more than the number. The number is:
4
5
6
10
16
Let the number be x.
Then,⇔ Then, 3x2−4x=x+50⇔3x2−5x−50=0⇔(3x+10)(x−5)=0⇔x=5.
Find a natural number whose square when decreased by 84 is equal to 24 more than thrice the given number.