KUMPULAN SOAL LOMBA MATEMATIKA LMNas SMA

Misalkan \(𝐴 = 𝑥^2 + 2𝑦 + 4\) dan \(𝐵 = 𝑥^2 + 𝑥 − 𝑦 + 5\)

\(\sqrt{𝑥^2 + 2𝑦 + 4} + \sqrt{𝑥^2 + 𝑥 − 𝑦 + 5} = \sqrt{𝑥^2 + 2𝑥 + 3} + \sqrt{𝑥^2 + 𝑥 + 3𝑦 + 2}\)
\(\sqrt{𝐴} + \sqrt{𝐵} = \sqrt{𝐵 + (𝑥 + 𝑦 − 2)} + \sqrt{𝐴 + (𝑥 + 𝑦 − 2)}\)

Supaya nilainya sama maka nilai dari \(𝑥 + 𝑦 − 2 = 0 ⟹ 𝑥 + 𝑦 = 2\)