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

Question

satela [25.4K]

2 years ago

5

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

omplete the square?

Mathematics

2 answers:

Nikolay [14] · Answer 1 · 2022-03-10T13:05:50+03:00

Nikolay [14]2 years ago

8 0

Answer:

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

Step-by-step explanation:

I just took the test.

sdas [7] · Answer 2 · 2022-03-10T11:16:25+03:00

sdas [7]2 years ago

4 0

solution:

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