Question

Find the discriminant & describe the nature of the roots 2x2=3x+5

Answer 1

`\bf 2x^2=3x+5\implies 2x^2-3x-5=0 \\\\\\ \begin{array}{llccll} &{{ 2}}x^2&{{ -3}}x&{{ -5}}&=0\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array} \\\\\\ discriminant\implies b^2-4ac= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}\\\\ -------------------------------\\\\ (-3)^2-4(2)(-5)`