Question

Y=x^2-6x+1

x=3,-8?? Am I right?

Answer 1

\[\frac{ -b \sqrt{b ^{2}-4ac}}{ 2a }\]
a=1
b=-6
c=1
Therefore:
\[\frac{ -(-6)\sqrt{(-6)^{2}-4(1)(1)} }{ 2(1) }\]
So:
\[\frac{ 6\sqrt{36-4} }{ 2 }\]
\[\frac{ 6+\sqrt{32} }{ 2}\] and \[\frac{ 6-\sqrt{32} }{ 2 }\]

\[\sqrt{32} \approx 5.657\]

Answer 2

\[6-\sqrt{32} \approx .343\] and \[6+5.657 \approx 11.657\]

Divide both answers by 2.

\[x \approx 5.829\] or \[x \approx .1715\]

Keeping the radical gives an exact answer.

Answer 3

Oh wow, so I was way off.

Answer 4

yeah it says use radicals as needed.

Answer 5

It happens! I hope the way I laid out the steps was clear enough!