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Home » If \( x + y = -10 \), then \( x^2 - y^2 = 4 \cdot (-10) = -40 \) - jntua results

If \( x + y = -10 \), then \( x^2 - y^2 = 4 \cdot (-10) = -40 \) - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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🔥 Popular Posts

\gcd(3^{15} - 1, 3^9 - 1) = 3^3 - 1 = 27 - 1 = 26.
Therefore, the greatest common divisor is $oxed{26}$.**Question:** An...
Solution:** Start with the given equation:
rac{x+y}{x-y} + rac{x-y}{x+y} = 3.
Let \( u = rac{x+y}{x-y} \), so the second term becomes \( rac{1}{u}...
u + rac{1}{u} = 3.
Multiply both sides by \(u\) (assuming \(u
u^2 + 1 = 3u \quad \Rightarrow \quad u^2 - 3u + 1 = 0.
u = rac{3 \pm \sqrt{9 - 4}}{2} = rac{3 \pm \sqrt{5}}{2}.
So \( u = rac{3 + \sqrt{5}}{2} \) or \( u = rac{3 - \sqrt{5}}{2} \).

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Cela signifie \( 4x = 2^5 = 32 \).
Résoudre pour \( x \) donne \( x = \frac{32}{4} = 8 \).
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