ItzBandzBitkh ItzBandzBitkh
  • 19-06-2022
  • Mathematics
contestada

Solve each of the following quadratic equations

3x=0.5x^2


0=5x^2-2x+6

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Medunno13
Medunno13 Medunno13
  • 19-06-2022

Question 1

[tex]3x=0.5x^{2}\\\\6x=x^{2} \\ \\ x^{2}-6x=0 \\ \\ x(x-6)=0 \\ \\ \boxed{x=0, 6}[/tex]

Question 2

[tex]0=5x^{2}-2x+6 \\ \\ x=\frac{2 \pm \sqrt{(-2)^{2}-4(5)(6)}}{2} \\ \\ x=\frac{2 \pm \sqrt{-116}}{10} \\ \\ x=\frac{2 \pm 2i\sqrt{29}}{10} \\ \\ \boxed{x=\frac{1 \pm i\sqrt{29}}{5}}[/tex]

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