Question 1000266
by completing the square,find in, terms of k, the roots of the equation
x^2 + 2kx - 7 = 0
x^2 + 2kx + ____ = 7
To complete the square, divide the coefficient of x by 2 and square it, add to both sides
x^2 + 2kx + k^2 = 7 + k^2
(x + k)^2 = 7 + k^2
Find the square root of both sides
x + k = +/-{{{sqrt(k^2+7)}}} 
x = -k + {{{sqrt(k^2+7)}}}
and
x = -k - {{{sqrt(k^2+7)}}}