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Use the square root method to find the solutions to the quadratic equation 22
- 80.
Write your answers separated by a comma. Make sure to simplify.

Respuesta :

MrRoyal

Answer:

[tex]x = 2\sqrt{2}, -2\sqrt{2}[/tex]

Step-by-step explanation:

Given

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

Required

Solve

We have:

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

Add 8 to both sides

[tex]x^2 = 8[/tex]

Take square roots of both sides

[tex]x = \±\sqrt{8}[/tex]

Expand

[tex]x = \±\sqrt{4*2}[/tex]

This gives:

[tex]x = \±2\sqrt{2}[/tex]

Split

[tex]x = 2\sqrt{2}, -2\sqrt{2}[/tex]

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