Group of people

Question

One fourth of one fourth of a group of people claim that they are innovative twice the square root of the group claim to be productive and the remaining 84 claim they are realistic find the total number of people in the group

Answer 1

(1/4)x + 2√x + 84 = x

2√x + 84 = (3/4)x

2√x = (3/4)x - 84

4x = (9/16)x^2 - 126x + 7056

0 = (9/16)x^2 -130x + 7056

x = 144, x = 87 I used the quadratic to solve. 144 seems to make sense, because it is a perfect square.

(1/4)(144) + 2√144 + 84 = 36 + 24 + 84 = 144