tayl0rr tayl0rr
  • 22-09-2020
  • Mathematics
contestada

Use the quadratic formula to solve x² + 9x + 10 = 0.

What are the solutions to the equation?

Respuesta :

Estellia
Estellia Estellia
  • 22-09-2020

Answer:

[tex]-1.30\ and\ -7.70[/tex] (2 decimal places)

Step-by-step explanation:

Quadratic Formula: [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

-----------------------------------------------

[tex]x^2+9x+10=0[/tex]

Plug in values:

[tex]x=\frac{-9\pm \sqrt{9^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}[/tex]

First value of x:

[tex]x=\frac{-9+\sqrt{41}}{2}=-1.30[/tex] (2 decimal places)

Second value of x:

[tex]x=\frac{-9-\sqrt{41}}{2}=-7.70[/tex] (2 decimal places)

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