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

Question

asked Jul 28, 2021 187k views

1 Answer

Ricardo Bocchi · Answer 1 · 2021-08-01T22:42:32+0000

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:

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