6 times a number is 27 less than the square of that number. Find the positive solution.

The positive integer is 9

Step-by-step explanation:

6 times a number is 27 less than the square of that number.

Let the number be x

These interpreted means 6 nultiplies by x is 27 less than the square of that number(x^2). F

6x= 27<x^2

0 = 27<-6x+x^2

Look for 2 numbers whose product is 27 and sum is -6

0 = 27<-9x+3x+x^2

0 = -9(3+x)+x(3+x)

0 = (x-9)(3+x)

x-9 = 0 3 + x =0

x= 9 -3 = x

The positive integer is 9

m∠a is 90°

m∠b is 40°