Consider the given equation,
[tex]5x^2+3=83[/tex]Transposing the terms,
[tex]\begin{gathered} 5x^2=83-3 \\ 5x^2=80 \\ x^2=\frac{80}{5} \\ x^2=16 \\ x=\sqrt[]{16} \\ x=\pm4 \end{gathered}[/tex]Thus, the lesser solution is - 4, and the greater solution is 4 .