Question

Solve the following quadratic equation for all values of xx in simplest form.
19, plus, 2, x, squared, equals, 21
19+2x
2
=
21

Answer 1

To solve the quadratic equation, let's first write it down clearly based on your description.

The equation is:

\[
19 + 2x^2 = 21
\]

Next, we need to isolate the \( x^2 \) term. We can do this by subtracting 19 from both sides of the equation:

\[
2x^2 = 21 - 19
\]

This simplifies to:

\[
2x^2 = 2
\]

Now, divide both sides by 2:

\[
x^2 = 1
\]

Next, we take the square root of both sides to find \( x \):

\[
x = \pm 1
\]

Thus, the solutions for the quadratic equation are:

\[
x = 1 \quad \text{and} \quad x = -1
\]

In simplest form, the solutions are \( x = 1 \) and \( x = -1 \).