Answer :
[tex]x(x+1)=22952\\
\\
x^2+x-22952=0\\
\\
\Delta=1^2-4.1.(-22952)=1+91808=91809\\
\\
x=\frac{-1+\sqrt{91809}}{2}=\frac{-1+303}{2}=\frac{302}{2}=151[/tex]
Numbers are: 151 and 152
Numbers are: 151 and 152
[tex]n(n+1)=22952\\
n^2+n-22952=0\\
\Delta=1^2-4\cdot1\cdot(-22952)=91809\\
\sqrt{\Delta}=\sqrt{91809}=303\\
n_1=\frac{-1-303}{2\cdot1}=\frac{-304}{2}=-152\\
n_2=\frac{-1+303}{2\cdot1}=\frac{302}{2}=151\\\\
n_1+1=-152+1=-151\\
n_2+1=151+1=152[/tex]
Those numbers are -152 and -151 or 151 and 152.
Those numbers are -152 and -151 or 151 and 152.