ANSWER
[tex] \\ \\ [/tex]
[tex] \\ \small \sf{In \: \: f inding \: \: the \: \: product \: \: o f \: \: roots} \\ \implies \sf{ use \: \: the \: \: formula \: \: \green{ \boxed{\frac{c}{a} } } } \\ \\ [/tex]
[tex] \\ \bold{GIVEN: } \\ 2 {x}^{2} = x + 7 \\ [/tex]
[tex]\\ \texttt{ STANDARD FORM: } \\ 2 {x}^{2} - x - 7 = 0 \\ \small{a = 2 \: \: \: b = - 1 \: \: \: c = - 7} \\ [/tex]
[tex] \\ \large{ \texttt{PRODUCT \: \: OF \: \: ROOTS: } }\\ \\ \implies \: \boxed{\frac{c}{a}} \\ [/tex]
[tex] \\ \frac{c}{a} \implies \: \blue{\boxed{ \green{\frac{ - 7}{2}} }} \\ \\ [/tex]
The product of roots of the equation is -7/2.
[tex] \\ \\ \\ [/tex]
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