Answer:
the positive number is equal to 6.
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