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  • 23-07-2017
  • Mathematics
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Solve the equation by completing the square. Round to the nearest hundredth if necessary? X^2+3x=24

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irspow
irspow irspow
  • 23-07-2017
x^2+3x=24, halve the linear coefficient, square it, and add it to both sides

In this case (3/2)^2=2.25

x^2+3x+2.25=26.25 now the left side is a perfect square...

(x+1.5)^2=26.25  take the square root of both sides

x+1.5=±√26.25  subtract 1.5 from both sides

x=-1.5±√26.25

x=-1.5-√26.25 and -1.5+√26.25

x≈ -6.62 and 3.62
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