Question

Which method do you prefer over the others describe the method in your own words and give an example of a quadratic equation that can be solved with the method Please help thanks thanks

Answer 1

The Solution:

We are required to give an example of a quadratic equation.

Describe a chosen method for solving the quadratic equation.

Solve it using the method you described.

A quadratic equation is an equation in the form:

`ax^2+bx+c=0`

So, an example of a quadratic equation is:

`x^2+x-6=0`

My chosen method of solving the quadratic equation is the Formula Method.

The quadratic formula (also known as Formula Method) is given as

Where

`\begin{gathered} a=\text{ coefficient of x}^2 \\ b=\text{ coefficient of x} \\ c=\text{ constant term} \\ \end{gathered}`

Solving the above quadratic equation using the formula method.

`\begin{gathered} x^2+x-6=0 \\ In\text{ this case} \\ a=1 \\ b=1 \\ c=-6 \end{gathered}`

Substituting these values in the formula, we get

`\begin{gathered} x=(-1\pm√(1^2-4(1)(-6)))/(2(1)) \\ \\ x=(-1\pm√(1+24))/(2) \\ \\ x=(-1\pm√(25))/(2) \\ \\ x=(-1\pm5)/(2) \end{gathered}`
`\begin{gathered} x=(-1+5)/(2)\text{ or }x=(-1-5)/(2) \\ \\ x=(4)/(2)\text{ or }x=(-6)/(2) \\ \\ x=2\text{ or }x=-3 \end{gathered}`

Therefore, the correct answer is x = 2 or -3