Question

In the following exercises, solve by using the Quadratic Formula.
$25d^2-60d+36=0$

Short answer

The solution of the given equation is $d=\frac{6}{5}$.

Step-by-step solution

Step 1. Given information.

The given equation is:

$25d^2-60d+36=0$

Step 2. Substitute the values in Quadratic Formula.

Quadratic Formula for the equation $a{x}^2+bx+c=0$is:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

In the given equation, $a=25,b=-60,c=36$. Substitute these values in Quadratic Formula.

$d=\frac{-(-60)\pm \sqrt{(-60{)}^2-4(25\left)\right(36)}}{2\left(25\right)}$

Step 3. Simplify the value.

On simplification, we get

$$\begin{gathered} d=\frac{60\pm \sqrt{3600-3600}}{50} \\ d=\frac{60\pm 0}{50} \\ d=\frac{60}{50} \\ d=\frac{6}{5} \end{gathered}$$

Step 4. Conclusion.

The solution of the given equation is $d=\frac{6}{5}$.