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

1 Answer

4 votes

Answer:


x=-\sqrt2\text{ or } x=\sqrt2

Explanation:

We have:


7+2x^2=11

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


2x^2=4\\

Divide both sides by 2:


x^2=2

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


x=\pm\sqrt2

Therefore, our solutions are:


x=-\sqrt2\text{ or } x=\sqrt2

User Ricardo Bocchi
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