Question

What are the real or imaginary solutions of 125x^3+343=0?

Answer 1

\[125x ^{3}+343=0\]

Answer 2

Real solution:

Answer 3

Solve for x over the real numbers:\[125 x^3+343 = 0 \]Isolate terms with x to the left hand side.
Subtract 343 from both sides:\[125 x^3 = -343 \]Divide both sides by a constant to simplify the equation.
Divide both sides by 125:\[x^3 = \frac{-343}{125 }\]Elminate the power on the left hand side.
Take cube roots of both sides:
What's your answer?

Answer 4

\[x=\sqrt[3]{-343/125}\]

Answer 5

That's probably wrong

Answer 6

Can you simplify that any more?

Answer 7

\[x=\sqrt[3]{2.744}\]

Answer 8

I'm not the best with simplifying radicals

Answer 9

Not quite, how about you just simplify the fraction?

Answer 10

Sorry, I still don't see, -2 93/125?

Answer 11

Actually, the answer would just be \[-\frac{7}{5}\]

Answer 12

Oh

Answer 13

You were supposed to completely ignore x^3 and find the cube roots of the numerator and denominator.

Answer 14

7^3/5^3

Answer 15

yeah I get it now the cuberoot goes to simplify the fration by getting the cubroot of the numerator and denominator.

Answer 16

*fraction

Answer 17

Yep, you can just toss out the powers once you get to that point. Nice job.

Answer 18

OK, thanks once again :D

Answer 19

Haha no problem :)