Question

Solve the equation: x2 - 14x + 85 = 0

Answer 1

1) Find two numbers that add up to -14 and multiply up to 85 but it won't work in this case so you will have to use the quadratic function \[\frac{ -b \pm \sqrt{b ^{2}-4ac} }{ 2a }\]

2) a=1, b=-14, and c=85

\[\frac{ 14\pm \sqrt{196-340} }{ 2 }\]

\[\frac{ 14\pm \sqrt{-144} }{ 2}\] (you have a negative in the radical and you can use (i)^2 which represents -1)

\[\frac{ 14\pm 12\iota }{ 2 }\] (you can simplifly by dividing 14 by 2 and 2 by 2)

\[7\pm12\iota \] (this is your final answer)


Hope this helps :D