Question

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

Answer 1

Answer:

n = 4

Step-by-step explanation:

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