whitman.57
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- Aug 31, 2012
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Find all complex solutions to the following equation. If there is more than one solution, enter all of them, separated by commas. If there are no solutions, enter "NONE".
Cant figure this out:(( ughh
- Thread starter whitman.57
- Start date
This is not calculus but a quadratic equation.
Expand \(\displaystyle (x-11)^{2}\) and you get a quadratic:
\(\displaystyle x^{2}-22x+129=0\)
use the quadratic formula to solve.
\(\displaystyle x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}\)
Expand \(\displaystyle (x-11)^{2}\) and you get a quadratic:
\(\displaystyle x^{2}-22x+129=0\)
use the quadratic formula to solve.
\(\displaystyle x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}\)
Hello, whitman.57!
We have: . \(\displaystyle (x-11)^2 \:=\:-8\)
. . . . . . . . . . \(\displaystyle x-11 \:=\:\pm\sqrt{-8}\)
. . . . . . . . . . \(\displaystyle x-11 \:=\:\pm2i\sqrt{2}\)
. . . . . . . . . . . . . .\(\displaystyle x \:=\:11\pm2i\sqrt{2}\)
We have: . \(\displaystyle (x-11)^2 \:=\:-8\)
. . . . . . . . . . \(\displaystyle x-11 \:=\:\pm\sqrt{-8}\)
. . . . . . . . . . \(\displaystyle x-11 \:=\:\pm2i\sqrt{2}\)
. . . . . . . . . . . . . .\(\displaystyle x \:=\:11\pm2i\sqrt{2}\)
HallsofIvy
Elite Member
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- Jan 27, 2012
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- 7,763
You make it look like you "can't figure this out" because you simply didn't try anything. Do you know about complex numbers? Do you know what "solution" means here.Find all complex solutions to the following equation. If there is more than one solution, enter all of them, separated by commas. If there are no solutions, enter "NONE".