Question

Katie solved the equation by completing the square. X2+12x−7=0 which equation shows one of the steps katie could have taken to complete the square?

Answer 1

x^2+12x+36=7+36

Explanation:

I just took the test.

Answer 2

`x^(2)+12x-7=0\\</p><p>add 7 to both side of the equation\\</p><p>x^(2)-12x=7\\</p><p>to creat a trinomial square on the left side of the equation.\\</p><p>find a value that is equal to the square of b and the cofficent of x.\\</p><p>((b)/(2))^2=(-6)^2\\</p><p>add the term to each side of the equation\\</p><p>x^2-12x+(-6)^2=7+(-6)\\</p><p>x^2-12x+36=43\\</p><p>(x-6)^2=43\\</p><p>solve the equation for x.\\`
`take the square root of each side of the equation to the set up the solution x,\\</p><p>(x-6)^2.(1)/(2)=\pm √(43)\\</p><p>x-6=\pm √(43)\\</p><p>x=6\pm √(43)`