DayDay131
DayDay131 DayDay131
  • 02-06-2018
  • Mathematics
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The equation 2x2 + 5x - 12 = 0 is factored. Each factor is set equal to zero. What are these two equations?

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Yikgaestudios Yikgaestudios
  • 02-06-2018
(2x-3)·(x+4)
1. 2x-3=0    x=3/22. x+4=0x=-4

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caylus
caylus caylus
  • 02-06-2018
Hi,
[tex]2x^2+5x-12=0\\ \Rightarrow\ 2x^2+8x-3x-12=0\\ \Rightarrow\ 2x(x+4)-3(x+4)=0\\ \Rightarrow\ (x+4)(2x-3)=0\\ \Rightarrow\ x+4=0\ or\ 2x-3=0\\ \Rightarrow\ x=-4 \ or\ x= \dfrac{3}{2} \\ Sol=\{-4, \dfrac{3}{2}\} [/tex]

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