Question

Q3 Which answer shows the next correct step for solving the

Answer 1

The answer shows the next correct step for solving the quadratic equation by taking the square root of both sides is g-4 = ±√2

Solving by completing the square method

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: brainly.com/question/13981588

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