Answer
$x = \dfrac{3}{5}$
Work Step by Step
We are asked to solve this quadratic equation using the Quadratic Formula, which is given as:
$x = \dfrac{-b ± \sqrt {b^2 - 4ac}}{2a}$, where $a$ is the coefficient of the squared term, $b$ is the coefficient of the linear term, and $c$ is the constant term.
In this exercise, $a = 25$, $b = -30$, and $c = 9$.
Plug these values into the Quadratic Formula:
$x = \dfrac{-(-30) ± \sqrt {(-30)^2 - 4(25)(9)}}{2(25)}$
$x = \dfrac{-(-30) ± \sqrt {900 - 4(25)(9)}}{2(25)}$
$x = \dfrac{30 ± \sqrt {900 - 900}}{50}$
$x = \dfrac{30 ± \sqrt {0}}{50}$
$x = \dfrac{30 ± 0}{50}$
$x = \dfrac{30}{50}$
$x = \dfrac{3}{5}$
