AvalonD436829 AvalonD436829
  • 03-11-2022
  • Mathematics
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Solve the equation by using the quadratic formula:2 − 8 + 13 = 0

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RosalyneG774798 RosalyneG774798
  • 03-11-2022

The equation is given as

[tex]x^2-8x+13=0[/tex]

Solve the quadratic expression by quadratic formula

[tex]x=\frac{8\pm\sqrt[]{64-52}}{2}=\frac{8\pm\sqrt[]{12}}{2}=\frac{8\pm2\sqrt[]{3}}{2}=4\pm\sqrt[]{3}[/tex]

Hence the value of x is obtained as

[tex]4+\sqrt[]{3},4-\sqrt[]{3}[/tex]

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