Question 122123
Question:

Use the quadratic formula to solve. 
{{{2(x)^2 - 5x = 3}}}


Answer:
The equation can be written as, 

{{{2(x)^2 - 5x - 3= 0}}}



Quadratic formula is, 

{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 


Here a = 2, b = -5 and c = -3


==> {{{x = (-(-5) +- sqrt( (-5)^2-4*2*(-3)))/(2*2) }}} 



==> {{{x = (5 +- sqrt( 25+24))/4 }}}



==>  {{{x = (5 +- sqrt( 49))/4 }}}



==>  {{{x = (5 +- 7)/4 }}}



==> {{{x = (5+7)/4}}} or {{{x = (5-7)/4}}}




==> {{{x = (12)/4}}} or {{{x = (-2)/4}}}





==> {{{x = 3}}} or {{{x = -1/2}}} which is the required solution.



Hope you found the explanation useful.



Regards.


Praseena.