How do you solve using the completing the square method #3x^2+14x=5#?

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Answer 1 · 2018-06-14T15:01:31

#color(crimson)(x = 1/3, -5#

#3x^2 + 14x = 5#

#3x^2 + 14x + 49/3 = 5 + 49/3#

#(sqrt3 x + 7/sqrt3)^2 = (8/sqrt3)^2#

#sqrt3 x + 7/sqrt3 = +- 8 / sqrt3#

#sqrt3 x = +- 8/sqrt3 - 7/sqrt3#

#x = (1/3) (-7 +- 8)#

#color(crimson)(x = 1/3, -5#