Question

Find the solutions to this equation algebraically using the Fundamental Theorem of Algebra, the Rational Root Theorem, Descartes' Rule of Signs, and the Factor Theorem to 204.75=x^(2)-8x+13.75

Answer 1

Are you not allowed to use the quadratic formula?

Answer 2

i dont know. i was just told to do these formulas. i am sure my teacher wouldnt mind if i did the quadratic formula though. even though i dont understand that either.

Answer 3

Those theorems that you stated don't really help you solve the problem.
The answer is:\[4\pm3\sqrt{23}\]

Answer 4

ok thank you
would u be able to show me the steps?

Answer 5

Do you want a more detailed explanation?

Answer 6

yes please

Answer 7

\[x ^{2}-8x+13.75=204.75\]\[x ^{2}-8x-191=0\]\[\frac{ 8\pm \sqrt{64-4(-191)} }{ 2 }\]\[\frac{ 8\pm \sqrt{828} }{ 2 }\]\[\frac{ 8\pm6\sqrt{23} }{ 2 }\]\[4\pm3\sqrt{23}\]

Answer 8

The third step I put everything into the quadratic formula

Answer 9

oo ok thank you..i think i understand it better now.

Answer 10

your wlecome