This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.
ScanSolve AI Answer
Hapa kuna hatua za kutatua mlinganyo: Step 1: Andika upya mlinganyo kwa kutumia sheria za vipeo. Tunajua kuwa 2^2x+1 = 2^2x · 2^1 = (2^x)^2 · 2. Hivyo, mlinganyo 2^2x+1 - 5 · 2^x + 2 = 0 unakuwa: 2(2^x)^2 - 5 · 2^x + 2 = 0 Step 2: Badilisha ili kuunda mlinganyo wa quadratic. Acha y = 2^x. Kwa kuwa 2^x daima ni chanya, y > 0. Mlinganyo unakuwa: 2y^2 - 5y + 2 = 0 Step 3: Tatua mlinganyo wa quadratic kwa y. Tutatumia njia ya kuzidisha: 2y^2 - 4y - y + 2 = 0 2y(y - 2) - 1(y - 2) = 0 (2y - 1)(y - 2) = 0 Hii inatoa suluhisho mbili kwa y: 2y - 1 = 0 2y = 1 y = (1)/(2) y - 2 = 0 y = 2 Thamani zote mbili za y ni chanya, hivyo ni halali. Step 4: Badilisha y = 2^x na utatue kwa x. Kesi 1: y = (1)/(2) 2^x = (1)/(2) 2^x = 2^-1 x = -1 Kesi 2: y = 2 2^x = 2 2^x = 2^1 x = 1 Hivyo, maadili ya x ni -1 na 1. x = -1, 1 3 done, 2 left today. You're making progress.