The equivalent equation using the completing the square is (x+6)^2 = 48
Completing the square method
Given the quadratic equation
12x=13−x^2
Equate to zero to have;
−x^2 - 12x + 13 = 0
Multiply through by -1 to have:
x^2+12x - 13 = 0
Add 13 to both sides to have:
x^2+12x = 13
Complete the square
x^2+12x + (12/2)^2 = 12 + (12/2)^2
x^2 + 12x + 6^2 = 12 + 36
(x+6)^2 = 48
Hence the equivalent equation using the completing the square is (x+6)^2 = 48
Learn more on completing the square here;https://brainly.com/question/13981588
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