Solve x2 + 6x = 7 by completing the square. What is the solution set of the equation?

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28-04-2017
Mathematics

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Solve x2 + 6x = 7 by completing the square. What is the solution set of the equation?

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j4cek j4cek · Answer 1 · 2017-04-28T22:59:46+02:00

j4cek j4cek

28-04-2017

[tex]x^2+6x=7[/tex]
[tex]x^2+6x+9=7+9[/tex]
[tex](x+3)^2=16[/tex]
[tex](x+3)^2=4^2[/tex]
[tex]x+3=4\lor x+3=-4[/tex]
[tex]x=4-3\lor x=-4-3[/tex]
[tex]\boxed{x=1\lor x=-7}[/tex]

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