<PRE><B>Question 720290</B>
You are correct on both. Nice work.


To check them, you just plug them back in and see if they satisfy the original equation


Checking x = -7/2


2x^2+3x=14 


2(-7/2)^2+3(-7/2)=14 


2(49/4)+3(-7/2)=14 


98/4-21/2=14 


98/4-42/4=14 


(98-42)/4=14 


(56)/4=14 


14 = 14 ... which is TRUE


So x = -7/2 satisfies the equation, which means x = -7/2 is a solution




Checking x = 2


2x^2+3x=14 


2(2)^2+3(2)=14 


2(4)+3(2)=14 


8 + 6=14 


14 = 14 ... which is TRUE


So x = 2 satisfies the equation, which means x = 2 is a solution


So both answers check out.</PRE>