Question 602255
solving this equation by either using the quadratic formula, by factoring or by completing the square..
3x^2 = 15x + 10
completing the square
3x^2 - 15x + ____ = 10
We want the coefficient of x^2 to be 1, divide thru by 3
x^2 - 5x + ____ = {{{10/3}}}
find the value to complete the square: (5/2)^2 = 25/4, add to both sides
x^2 - 5x + {{{25/4}}} = {{{10/3}}} + {{{25/4}}}
;
(x - {{{5/2}}})^2 = {{{40/12}}} + {{{75/12}}}
:
(x - {{{5/2}}})^2 = {{{115/12}}}
:
(x - {{{5/2}}}) = +/- {{{sqrt(115/12)}}}
extract he square root of 1/4
x = {{{5/2}}} + {{{1/2}}}{{{sqrt(115/3)}}}  = {{{(5+sqrt(115/3))/2}}}
and
x = {{{(5-sqrt(115/3))/2}}}