Use the quadratic formula to find the solution to the quadratic equation given below 3x^2-5x+1=0
can someone help me on my question please
\[x=\frac{5\pm \sqrt{37} }{ 6 }\]
is that the answer? thats what i got
that's what I got too
I think you have a sign error under the radical.
CAN SOMEONE PLEASE HELP ME!!!!!!
its suppose to be like that -_-
is it right mathstudent 55
I say it is [5 +- sqroot(13)] / 6
\(3x^2-5x+1=0\) \(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) \(x = \dfrac{-(-5) \pm \sqrt{(-5)^2 - 4(3)(1)}}{2(3)} \) \(x = \dfrac{5 \pm \sqrt{25 - 12}}{6} \) \(x = \dfrac{5 \pm \sqrt{13}}{6} \)
@wolf1728 is correct.
The discriminant is 25 - 12 = 13, not 25 + 12 = 37.
oh
By completing the square......\[3x^2-5x+1=0 \implies x^2-\frac{5}{3}x=\frac{-1}{3}\]\[\implies x^2-\frac{5}{3}x+\frac{25}{36}=\frac{25}{36}-\frac{1}{3} \implies (x-\frac{5}{6})^2=\frac{13}{36}\]\[\implies x-\frac{5}{6}= \pm \frac{\sqrt{13}}{6} \implies x=\frac{-5 \pm \sqrt{13}}{6}\]
so my answers are \[x=\frac{ 5+\sqrt{13} }{ 6 }x=\frac{ 5-\sqrt{13} }{ 6 }\]
guys im conffused with the answers
@romanortiz65, your final answers are correct. @animalain, you made a mistake in your final result.
I hate sign errors. Thanks for pointing it out.
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