Question 615350
{{{x^2-5x-14=0}}}
{{{x^2-5x=14}}}
take 1/2 'b', square it and add to both sides:
{{{x^2-5x+ 25/4 = 14+25/4}}}
{{{ (x-5/2)^2 = 56/4 + 25/4}}}
{{{ (x-5/2)^2 = 81/4}}}
{{{ x-5/2 = sqrt(81/4)}}}
x = 5/2 +-9/2
.
x = {-4/2, 14/2}
or
x = {-2, 7}