Identify the Most Appropriate Method to Use to Solve a Quadratic Equation

In the following exercisesidentify the most appropriate method (Factoring, Square Root, or Quadratic Formula) to use to solve each quadratic equation. Do not solve.

$$\begin{gathered} \left(a\right)6a^2+14=20 \\ \left(b\right){\left(x-\frac{1}{4}\right)}^2=\frac{5}{16} \\ \left(c\right)y^2-2y=8 \end{gathered}$$

In the following exercisesidentify the most appropriate method (Factoring, Square Root, or Quadratic Formula) to use to solve each quadratic equation. Do not solve.

$$\begin{gathered} \left(a\right)6a^2+14=20 \\ \left(b\right){\left(x-\frac{1}{4}\right)}^2=\frac{5}{16} \\ \left(c\right)y^2-2y=8 \end{gathered}$$

The given Quadratic Equation is

$6a^2+14=20$

On simplify we get

$6a^2=6$

For the above equation the Quadratic Formula is the most appropriate method.

The given Quadratic Equation is

${\left(x-\frac{1}{4}\right)}^2=\frac{5}{16}$

On simplify we get

$$\begin{gathered} x^2-\frac{1}{2}x+\frac{1}{16}=\frac{5}{16} \\ {x}^2-\frac{1}{2}x-\frac{4}{16}=0 \end{gathered}$$

The most appropriate method is to use the Square Root Property.

The given Quadratic Equation is

$y^2-2y=8$

On simplify we get

$y^2-2y-8=0$

For the above equation the factoring is the most appropriate method.

The most appropriate method to use to solve each quadratic equation are

Part (a) Quadratic formula

Part (b) Square root

Part (c) Factor.