Question

Which is equivalent (Algebra ll)

Answer 1

D :
`x^(2) +81=x^(2) +20x+100`

Explanation:

We start with the original equation:

`\sqrt{x^(2) +81} =x+10`

Squaring both sides to remove the square root we get:

`x^(2) +81=(x+10)^(2)`

Expanding the right side:

`x^(2) +81=(x+10)(x+10)`

Multiplying the right side out and combining like terms we get:

`x^(2) +81=x^(2) +20x+100`