Question

Nine times the square of a number plus 8 is 44. The number is positive. What’s the number?

Answer 1

n = 4

Explanation:

`n-number,\ n>0\\\\9n^2+8=44\qquad\text{subtract 8 from both sides}\\\\9n^2+8-8=44-8\\\\9n^2=36\qquad\text{divide both sides by 9}\\\\(9n^2)/(9)=(36)/(9)\\\\n^2=4\iff n=\pm\sqrt4\\\\n=\pm4`