Question

f(x)=x^2+6x-16
g(x)=x^2+6x+1
two real irrational solutions
two real rational solutions

Answer 1

Are you asking which one is a rational or irrational solution of the two given problems?

Answer 2

f(x)
(x +8)(x-2) two reals -8,+2
g(x)
\[\frac{ -b \pm \sqrt{b ^{2}-4ac} }{ 2a }\]

Answer 3

\[\frac{ -6\pm \sqrt{6^{2}-4*1*1} }{ 2*1 }=\frac{ -6\pm \sqrt{36-4} }{ 2}\]
\[-3\pm \frac{ \sqrt{32} }{ 2 }=-3\pm2\sqrt{2}\]