How do you solve using the completing the square method #3x^2 + 11x - 4 = 0#?

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How do you solve using the completing the square method #3x^2 + 11x - 4 = 0#?

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Answer 1 · 2017-08-04T05:06:45

-4; #1/3#

Explanation:

#3x^2 + 11x = 4#
Divide both sides by 3:
#x^2 + (11x)/3 = 4/3#
#x^2 + (11x)/3 + 121/36 = 4/3 + 121/36#
#(x + 11/6)^2 = 169/36#
#x + 11/6 = +- 13/6#
#x = - 11/6 +- 13/6#
#x1 = - 24/6 = - 4#
#x2 = 2/6 = 1/3#

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How do you solve using the completing the square method #3x^2 + 11x - 4 = 0#?

1 Answer

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