Question

solving quadratic equations by square roots

solve the following quadratic function by utilizing the square root method. simplify your answer completely.
\\f(x) = 49x^2 - 144\\
\\x = \pm \frac{?}{}\\

Explanation:

Set the function to zero

Using the Solving Quadratic Equations knowledge point

$$ 49x^2 - 144 = 0 $$

Isolate the quadratic term

Using the Solving Quadratic Equations knowledge point

$$
LATEXBLOCK0
$$

Apply the square root property

Using the Square Root Property knowledge point

$$ x = \pm \sqrt{\frac{144}{49}} $$

Simplify the radical expression

Using the Square Root Property knowledge point

$$ x = \pm \frac{12}{7} $$

Answer:

Solve the following quadratic function by utilizing the square root method. Simplify your answer completely.
\(f(x) = 49x^2 - 144\)

\(x = \pm\) <blank>\(\frac{12}{7}\)</blank>