Question

resolvam em C cada equação :
a) x2+25=0
b) 2x2+98=0
c) x2-2x+2=0
d) x2-10x+40=0

Answer 1

$a)x^2=-25 =\ \textgreater \ x=+-\sqrt{-25} =\ \textgreater \ x=+-5i S = {-5i, 5i} b)2x^2=-98 =\ \textgreater \ x^2=-98/2 =\ \textgreater \ x=+-\sqrt{-49} =\ \textgreater \ x=+-7i S = {-7i, 7i} c)a=1 b=-2 c=2 (2+-\sqrt{(-2)^2-4*1*2})/2 x'=2+\sqrt{-4} =\ \textgreater \ 2+2i =\ \textgreater \ 1+i x''=2-\sqrt{-4} =\ \textgreater \ 2-2i =\ \textgreater \ 1-i S = {1-i, 1+i} d)a=1 b=-10 c=40 (10+-\sqrt{(-10)^2-4*1*40})/2 x' = (10+\sqrt{-60})/2 =\ \textgreater \ (10+2\sqrt{15}i)/2 =\ \textgreater \ 5+\sqrt{15}i x'' = (10-\sqrt{-60})/2 =\ \textgreater \ (10-2\sqrt{15}i)/2 =\ \textgreater \ 5-\sqrt{15}i S = {5-\sqrt{15}i, 5+ \sqrt{15}i}$