A positive number is 30 less than its square. Find the number.

6

Step-by-step explanation:

6+30=36

6^2=36

the positive number is equal to 6.

Step-by-step explanation:

from the question which says A positive number is 30 less than its square. Find the number.

let the number be "n"

and the square of the number = n²

So, we have the expression to be

n = n²-30

n ²-30 - n = 0

Re-arrange the equation

n²-n-30=0

the factors of - 30 are 5 and - 6

so we have

(n+5) (n-6) = 0

n+5 = 0

n = - 5

or

n-6 = 0

n = 6

therefore the number can either be - 5 or 6.

note we are asked to find the positive number, so the positive number is 6