Question

One-fourth of a group of people claim that they are innovative, twice the square root of the group claim to be protective and the remaining 84 claim they are realistic. Find the total number of people in the group.​

Answer 1

just factorize the remaining

hope this helps..✌✌

Answer 2

Answer:

144

Step-by-step explanation:

Let the total number of people in the group be 'x'.

(i)

Innovative people = (x/4).

(ii)

Protective people = 2√x

(iii)

Realistic people = 84.

Hence,

⇒ (x/4) + 2√x + 84 = x

⇒ 3x - 8√x - 336 = 0

Let √x = y, then x = y²

⇒ 3y² - 8y - 336 = 0

⇒ 3y² + 28y - 36y - 336 = 0

⇒ y(3y + 28) - 12(3y + 28) = 0

⇒ (y - 12)(3y + 28) = 0

⇒ y = 12, -28/3{Cannot be rational}

Now,

(i) When y = 12:

x = y²

  = 144.

Therefore, the total number of people in the group = 144.

Hope it helps!