Question

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

Answer 1

Answer:

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

Step-by-step 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:

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