Question

Identify the most appropriate method to use to solve each quadratic equation. Do not solve.

$$\begin{gathered} \left(a\right).16r^2-8r+1=0 \\ \left(b\right).5t^2-8t+3=9 \\ \left(c\right).3{\left(c+2\right)}^2=15 \end{gathered}$$

Short answer

The solution is:

Part (a). The quadratic formula is appropriate.

Part (b). The factoring method is appropriate.

Part (c). The square root method is appropriate.

Step-by-step solution

Part (a). Step 1. Given information.

The given equation is$16r^2-8r+1=0$.

Part (a). Step 2. Identify the method.

The given equation is $16r^2-8r+1=0$.

The above equation is difficult to factor.

So, the quadratic formula is appropriate.

Part (b). Step 1. Given information.

The given equation is$5t^2-8t+3=0$.

Part (b). Step 2. Identify the method.

The given equation is $5t^2-8t+3=0$.

The above equation is easy to factor.

So, the factoring method is appropriate.

Part (c). Step 1. Given information.

The given equation is$3{\left(c+2\right)}^2=15$.

Part (c). Step 2. Identify the method.

The given equation is $3{\left(c+2\right)}^2=15$.

The left hand side of the equation is of the form of $a{\left(x-h\right)}^2=k$.

So, the square root method is appropriate.