Answer:
36
Step-by-step explanation:
x boys playing in the park
girls equals sq rt of the number of boys
g = √ x
total of number of boys and girls is 42
x + √x = 42
√ x = 42 - x
x = (42 - x)^2
x = (42 - x)(42 - x)
x = x^2 - 84x + 1764
x^2 - 84x + 1764 - x = 0
x^2 - 85x + 1764 = 0
using the quadratic formula, we arrive at : x = 36 or x = 49
check....
x + √ x = 42.....subbing in 36 for x
36 + √36 = 42
36 + 6 = 42
42 = 42.......so 36 works
x + √x = 42....subbing in 49 for x
49 + √49 = 42
49 + 7 = 42
56 ≠ 42.......so 49 does not work
therefore, ur answer is 36 <======
