Question

Help with some math review questions? I don't understand and need someone to explain it to me?

Answer 1

Solve the following quadratic equations by completing the square:
1. x^2 - 16 = 6x

Answer 2

2. x^2 + 1= 3x

Answer 3

3. x^2 = 9 - 7x

Answer 4

ok. so
we have
\[x^2 - 16 = 6x\]move all the \(x\) terms to the left hand side

Answer 5

can you do that ?

Answer 6

I need help, I'm so sorry, I've totally forgotten all of this

Answer 7

\[x^2−16=6x\]
if we move all the\(x\) terms to the left hand side of the equation
\[x^2-6x−16=0\]
and move the other terms to the right hand side
\[x^2-6x=16\]

Answer 8

now what could we add to both sides to make the left hand side a perfect square?

Answer 9

x^2? I'm so confused

Answer 10

we are looking for a^2

Answer 11

so that we can use this \[(x-a)^2\\=(x-a)(x-a)\\=x(x-a)-a(x-a)\\=x^2-xa-ax+a^2\\=x^2-2ax+a^2\]in reverse

Answer 12

can you find \(a\)?