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  • 12-01-2019
  • Mathematics
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What are the solutions to the quadratic equation 98-x2=0

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gmany
gmany gmany
  • 12-01-2019

[tex]98-x^2=0\qquad\text{add}\ x^2\ \text{to both sides}\\\\98=x^2\to x^2=98\\\\x=\pm\sqrt{98}\\\\x=\pm\sqrt{49\cdot2}\\\\x=\pm\sqrt{49}\cdot\sqrt2\\\\\boxed{x=-7\sqrt2\ \vee\ x=7\sqrt2}[/tex]

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