Question 545970
solve the quadratic equation by completing the statement.
x^2 - 14x = -45
I think they may mean by "completing the square"
x^2 - 14x + ____ = -45
To complete the square, we divide the coefficient of x by 2 and square it
That would be 14/2 = 7, 7^2 = 49, so we have
x^2 - 14x + 49 = -45 + 49, we have to add 49 to both sides
x^2 - 14x + 49 = 4
Which is
(x-7)^2 = 4
Find the square root of both sides
x - 7 = +/- {{{sqrt(4)}}}
x - 7 = +/- 2
Two solutions
x = 7 + 2
x = 9
and
x = 7 - 2
x = 5