There are x boys playing in the park. the number of girls playing in the park is equal to the square root of the number of boys. if the total number of boys and girls playing in the park is 42, find the number of boys. a. 49 b. 7 c. 36 d. 6

C 36.

Step-by-step explanation:

If x is the number of boys then √x is the number of girls.

x + √x = 42

√x = 42 - x

Squaring both sides:

x = (42 - x)^2

1764 - 84x + x^2 - x = 0

x^2 - 85x + 1764 = 0

(x - 36)(x - 49) = 0

x =  number of boys = 49 or 36.

But the total number  = 42 so there must be 36 boys. Also √36 = 6 so the answer is 36 boys.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .