Question 977653
Solve W2+6w-11=0 using complete square method
:
w^2 + 6w + __ = 11
Half the coefficient of w and square it: (6/2)^2 = 9, add to both sides
w^2 + 6w + 9 = 11 + 9
w^2 + 6w + 9 = 20
Which is
(w + 3)^2 = 20
find the square root of both sides
w + 3 = +/-{{{sqrt(20)}}}
w + 3 = +/-{{{sqrt(4*5)}}}
extract the square root of 4
w + 3 = +/-{{{2sqrt(5)}}}
Two solutions
{{{w = -3 + 2sqrt(5)}}}
and
{{{w = - 3 - 2sqrt(5)}}}