Question

4. Write each trinomial as a binomial squared, and simplify the right side.

(x+ __)² + (y +1 )² = 38

Answer 1

Answer: 6

Explanation:

Answer 2

`(x+6)^2+(y+1)^2=38`

Explanation:

We are given that

`x^2+y^2+12x+2y-1=0`

The equation can be written as

`x^2+2* 6x+(6)^2-36+y^2+2* y+1-1-1=0`

`(x^2+2* x * 6+36)+(y^2+2* y* 1+1)-36-1-1=0`

We know that

`a^2+b^2+2ab=(a+b)^2`

Using the formula

`(x+6)^2+(y+1)^2-36-1-1=0`

`(x+6)^2+(y+1)^2-38=0`

`(x+6)^2+(y+1)^2=38`