Question

Can you help me the other tutor couldnt help me

Answer 1

`(x+5)^2=64`

Step by step explanation:

Completing the square is where we take a quadratic equation like this:

`\begin{gathered} ax^2+bx+c=0\text{ } \\ \text{ and turn it into this form:} \\ a(x+d)^2+e=0 \end{gathered}`

Where d and e can be represented by these expressions:

`\begin{gathered} d=(b)/(2a) \\ e=c-(b^2)/(4a) \end{gathered}`

Now, we have the following equation:

`x^2+10x-39=0`

Then, a=1, b=10 and c=-39

Find d and e:

`\begin{gathered} d=(10)/(2)=5 \\ e=-39-(10^2)/(4)=-64 \end{gathered}`

So, the equation completing the square would be:

`(x+5)^2-64=0`

Turning it into the form (x+a)^2=b.

`(x+5)^2=64`