Question

Which of the following are solutions to the quadratic equation below?
`{x}^(2) + 8x = 9`Check all that apply.

Answer 1

Given:

There are given the equation:

`x^2+8x=9`

Step-by-step explanation:

According to the question:

We need to find the solution to the given quadratic.

Then,

To find the solution, we will use the quadratic equation formula.

`x=(-b\pm√(b^2-4ac))/(2a)`

Then,

From the equation:

`x^2+8x-9=0`

Where,

`a=1,b=8,c=-9`

Then,

Put all the value into the formula:

`\begin{gathered} x=(-b\pm√(b^2-4ac))/(2a) \\ x=(-8\pm√((8)^2-4*1*(-9)))/(2*1) \\ x=(-8\pm√(64+36))/(2) \end{gathered}`

Then,

`\begin{gathered} x=(-8\pm√(64+36))/(2) \\ x=(-8\pm√(100))/(2) \\ x=(-8\pm10)/(2) \end{gathered}`

Then,

`\begin{gathered} x=(-8\pm10)/(2) \\ x=-(8+10)/(2),(-8-10)/(2) \\ x=(2)/(2),(-18)/(2) \\ x=1,-9 \end{gathered}`

Therefore, the solution of the given quadratic equation:

`x=1,-9`

Final answer:

Hence, the correct options are B and E.