Solve these quadratic equations by first completing the square.a i x2 − 8x + 3 = 0 ii x2 − 12x + 7 = 0b i x2 + 4x − 4 = 0 ii x2 + 10x − 7 = 0

Sure, let's solve these equations one by one.

a i) x² - 8x + 3 = 0

Step 1: Move the constant term to the other side of the equation. x² - 8x = -3

Step 2: Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation. x² - 8x + 16 = -3 + 16 (x - 4)² = 13

Step 3: Take the square root on both sides. x - 4 = ± √13

Step 4: Solve for x. x = 4 ± √13

a ii) x² - 12x + 7 = 0

Step 1: Move the constant term to the other side of the equation. x² - 12x = -7

Step 2: Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation. x² - 12x + 36 = -7 + 36 (x - 6)² = 29

Step 3: Take the square root on both sides. x - 6 = ± √29

Step 4: Solve for x. x = 6 ± √29

b i) x² + 4x - 4 = 0

Step 1: Move the constant term to the other side of the equation. x² + 4x = 4

Step 2: Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation. x² + 4x + 4 = 4 + 4 (x + 2)² = 8