Abbyvkhgo Abbyvkhgo

18-11-2017
Mathematics

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Solve the equation by completing the square. Round to the nearest hundredth.
x^2+6x=-7

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tynollette tynollette

18-11-2017

to complete a square, both side add (half of b) squared.
in this case, b=6, half of 6 is 3, so
x²+6x+3²=-7+3²
notice the left side is now a square: (x+3)²=2
solve: x+3=√2, or x+3=-√2
so x=-3+√2, or x=-3-√2

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