The answer shows the next correct step for solving the quadratic equation by taking the square root of both sides is g-4 = ±√2
Quadratic equations are equation that has a leading degree of 2. Given the quadratic equation as shown below:
g²-8g + 16 = 2
Subtract 16 from both sides
g²-8g + 16 -16 = 2 - 16
g²-8g = -14
Complete the square
g²-8g + (-8/2)² = -14 + (-8/2)²
g²-8g + (-4)² = -14 + (-4)²
(g-4)² = -14 + 16
(g-4)² = 2
Take the square root of both sides
√(g-4)² = ±√2
g-4 = ±√2
Hence the answer shows the next correct step for solving the quadratic equation by taking the square root of both sides is g-4 = ±√2
Learn more on completing the square here: https://brainly.com/question/13981588
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