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Quiz: Completing the Square 7 Solving Quadratic Equations
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 - 5x = 12
5.58, -0.58
2.4, 4.27
20.75, -15.75
06.77, -1.77
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Respuesta :

Answer:

Step-by-step explanation:

x²-5x=12

x²-5x+(\frac{-5}{2})²=12+(frac{-5}{2})²

[tex](x-\frac{5}{2} )^2=12+\frac{25}{4} =\frac{73}{4} \\x=\frac{5}{2} \pm\frac{\sqrt{73} }{2}=2.5 \pm 4.272\\x\approx 6.772,-1.772\\\\x \approx 06.77,-1.77[/tex]

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