h² + 14h + 3 = 5
The form that you must have:
-- the squared term must have a coefficient of 1
-- the left side must have the squared term and the linear term; the number must be on the right side.
First, move the 3 to the other side (by subtracting 3 from both sides):
h² + 14h = 2
There are three steps in completeing the square:
-- divide the coefficient of the linear term by 2 14 ÷ 2 = 7
-- square that result 7² = 49
-- add this number to both sides.
h² + 14h + 49 = 2 + 49
(h + 7)(h + 7) = 51 Factor:
(h + 7)² = 51 Find the square root:
h + 7 = ±√51 Removd the 7 from the left side:
h = -7 ±√51
h² + 14h + 3 = 5
The form that you must have:
-- the squared term must have a coefficient of 1
-- the left side must have the squared term and the linear term; the number must be on the right side.
First, move the 3 to the other side (by subtracting 3 from both sides):
h² + 14h = 2
There are three steps in completeing the square:
-- divide the coefficient of the linear term by 2 14 ÷ 2 = 7
-- square that result 7² = 49
-- add this number to both sides.
h² + 14h + 49 = 2 + 49
(h + 7)(h + 7) = 51 Factor:
(h + 7)² = 51 Find the square root:
h + 7 = ±√51 Removd the 7 from the left side:
h = -7 ±√51