aidanmceldowney
aidanmceldowney aidanmceldowney
  • 15-11-2020
  • Mathematics
contestada

Solve the following quadratic equation for all values of x in simplest form. 7+2x^2=11​

Respuesta :

xKelvin
xKelvin xKelvin
  • 15-11-2020

Answer:

[tex]x=-\sqrt2\text{ or } x=\sqrt2[/tex]

Step-by-step explanation:

We have:

[tex]7+2x^2=11[/tex]

To solve, we will isolate the x variable. Therefore, subtract 7 from both sides:

[tex]2x^2=4\\[/tex]

Divide both sides by 2:

[tex]x^2=2[/tex]

Take the square root of both sides. Since we’re taking an event root, we will need plus/minus. Therefore:

[tex]x=\pm\sqrt2[/tex]

Therefore, our solutions are:

[tex]x=-\sqrt2\text{ or } x=\sqrt2[/tex]

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