Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The square of a number increased by 5 times the number is equal to 176. Find one number for which this could be true. The number is .

Answer: The numbers are 11 and -16Step-by-step explanation:The square of a number increased by 5 times the number is equal to 176Let the number be n.We have         n² + 5 n = 176         n² + 5 n - 176 = 0         [tex]n=\frac{-5\pm \sqrt{5^2-4\times 1\times (-176)}}{2\times 1}=\frac{-5\pm 27}{2}\\\\n=11\texttt{ or }n=-16[/tex]So the numbers are 11 and -16