calimelo calimelo
  • 03-12-2020
  • Mathematics
contestada

Solve by Completing the Square then identify the type of SOLUTIONS:
3x^2 - 12x - 45 = 0

Respuesta :

bridgetadeleye123
bridgetadeleye123 bridgetadeleye123
  • 03-12-2020

Answer: x= 2 + [tex]\sqrt\\ 19[/tex]  , x= 2 - [tex]\sqrt19\\[/tex]

Step-by-step explanation:[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:3\left(-45\right)}}{2\cdot \:3}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \:6\sqrt{19}}{2\cdot \:3}[/tex]

[tex]x_1=\frac{-\left(-12\right)+6\sqrt{19}}{2\cdot \:3},\:x_2=\frac{-\left(-12\right)-6\sqrt{19}}{2\cdot \:3}[/tex]

[tex]x=2+\sqrt{19},\:x=2-\sqrt{19}[/tex]

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