Solve 2x2 + x − 4 = 0 using completing the square

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13-07-2017
Mathematics

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Solve 2x2 + x − 4 = 0 using completing the square

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LammettHash LammettHash · Answer 1 · 2017-07-13T17:01:14+02:00

LammettHash LammettHash

13-07-2017

[tex]2x^2+x-4=0[/tex]
[tex]x^2+\dfrac12x-2=0[/tex]
[tex]x^2+\dfrac12x+\dfrac1{16}-\dfrac{33}{16}=0[/tex]
[tex]\left(x+\dfrac14\right)^2=\dfrac{33}{16}[/tex]
[tex]x+\dfrac14=\pm\dfrac{\sqrt{33}}4[/tex]
[tex]x=\dfrac{-1\pm\sqrt{33}}4[/tex]

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