Completing the square method

Step 1: move c to the right side of the equation.

Step 2: Make a = 1 by dividing all the numbers by a.

Step 3: Divide b by 2, then square that result. Add the final result to both sides of the equation.

Step 4: Factorise the left-hand side of the equation. 

Step 5: Square root both sides.

Step 6: Solve for x. 

x² – 8x + 5 = 0

x² – 8x = - 5

x² – 8x + 16 = - 5 + 16

(x - 4)² = 11

x - 4 = √11

Answer :