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  • 03-11-2019
  • Mathematics
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The solution to the equation 2x^2+x-1=2

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stevenslusser
stevenslusser stevenslusser
  • 03-11-2019

Answer:

[tex]x=-\frac{3}{2}, x=1[/tex]

Step-by-step explanation:

[tex]2x^2+x-1=2[/tex]

Subtract 2 from both sides and factor:

[tex]2x^2+x-1=2\\2x^2+x-3=0\\(2x+3)(x-1)=0[/tex]

Solve each factor individually:

[tex]2x+3=0\\2x=-3\\x=-\frac{3}{2}[/tex]

[tex]x-1=0\\x=1[/tex]

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