Solve by completing square v2 18 qvSolutionv2 18 9v v2 9v

Solve by completing square v^2 + 18 = q_v

Solution

v² +18 =9v

v² -9v = -18

Here b=-9, therefore b/2= -9/2. We have to add the square of -9/2 to both sides

v²-9v +81/4 =-18 +81/4

(v - 9/2)² = 9/4

Taking square root on both sides

v - 9/2 = +-3/2

v= 9/2 +-3/2

v=9/2 + 3/2 , 9/2 -3/2

v= 6, 3