Question 638926
{{{x^2-14x+49=64}}}


{{{x^2-14x+49-64=0}}}


{{{x^2-14x-15=0}}}


Now use the quadratic formula to solve for x


{{{x = (-b+-sqrt(b^2-4ac))/(2a)}}}


{{{x = (-(-14)+-sqrt((-14)^2-4(1)(-15)))/(2(1))}}}


{{{x = (14+-sqrt(196-(-60)))/(2)}}}


{{{x = (14+-sqrt(256))/2}}}


{{{x = (14+sqrt(256))/2}}} or {{{x = (14-sqrt(256))/2}}}


{{{x = (14+16)/2}}} or {{{x = (14-16)/2}}}


{{{x = 30/2}}} or {{{x = -2/2}}}


{{{x = 15}}} or {{{x = -1}}}


So the solutions are {{{x = 15}}} or {{{x = -1}}}