Question

Solve the following quadratic equation: 1/4x^2+2x+4=0
(1 point)
x=

Answer 1

To solve the quadratic equation \( \frac{1}{4}x^2 + 2x + 4 = 0 \), we can start by multiplying every term by 4 to eliminate the fraction:

\[
x^2 + 8x + 16 = 0.
\]

Next, we can factor the quadratic equation:

\[
(x + 4)(x + 4) = 0.
\]

This can be simplified to:

\[
(x + 4)^2 = 0.
\]

Now, we can solve for \( x \):

\[
x + 4 = 0 \implies x = -4.
\]

Thus, the solution to the equation is:

\[
x = -4.
\]