Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**tony123****Member**- Registered: 2007-08-03
- Posts: 192

Determine all real numbers

that satisfy the following system ofequations.

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Rewrite the second, third and fourth equations as

Now multiply these equations by

, and respectively.Now notice that

Hence we have

Thus we get these two inconsistent equations

Solve the first cubic for *a* and use it to find *d*.

*Last edited by JaneFairfax (2008-07-21 10:26:45)*

Offline

Pages: **1**