Question 77656
Question:


2x^2 + 3 = 7x


Answer:


2x^2 + 3 = 7x



2x^2 + 3 - 7x = 7x - 7x , subtract 7x from both sides.



==> 2x^2 - 7x + 3 = 0



Now split the middle term, that is -7x.



For that find two numbers whose sum is -7(that is coefficient of x ) and their product is 6 (that is 2* 3 )



Such two numbers are -6 and -1



==> 2x^2 -6x - 1x  + 3 = 0


Now group the terms



==> 2x ( x - 3 ) - ( x-3) = 0



==> (x - 3 )( 2x - 1)     = 0



==> Either (x - 3 ) = 0   or  (2x - 1 ) = 0



==> x = 3 or 2x = 1



==> x = 3   or x = 1/2




These are the solutions of the given polinomial.



Hope you understood.



Regards.


Praseena.