Nikkicole13 Nikkicole13
  • 14-02-2022
  • Mathematics
contestada

Use the quadratic formula to solve the equation. Show all work. (No decimal answers)
5x^2 - 14x + 8 = 0

Respuesta :

profereyes12122
profereyes12122 profereyes12122
  • 14-02-2022

Answer:

[tex]x_{1} =2[/tex]

[tex]x_{2} =4/5[/tex]

Step-by-step explanation:

[tex]a=5, b=-14, c=8[/tex]

[tex]x=\frac{-(-14)+-\sqrt{(-14)^{2}-4(5)(8) } }{2(5)}[/tex]

[tex]x=\frac{14+-\sqrt{196-160} }{10}[/tex]

[tex]x=\frac{14+-\sqrt{36} }{10} =\frac{14+-6}{10}[/tex]

[tex]x_{1} =\frac{14+6}{10} =\frac{20}{10} =2[/tex]

[tex]x_{2} =\frac{14-6}{10} =\frac{8}{10} =\frac{4}{5}[/tex]
hope this helps

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