This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Haya hapa masuluhisho ya swali uliyotuma: Swali: Mutiso anamiliki shamba la mstatili lenye eneo la (x^2 - 6x + 9)m^2. Factoriza ili kupata urefu wa upande mmoja. Step 1: Tambua usemi wa eneo. Eneo la shamba ni x^2 - 6x + 9. Step 2: Factoriza usemi wa quadratic. Usemi x^2 - 6x + 9 ni trinomial kamili ya mraba. Inaweza kuandikwa kama (a-b)^2 = a^2 - 2ab + b^2. Hapa, a^2 = x^2 a = x. Na b^2 = 9 b = 3. Angalia muda wa kati: -2ab = -2(x)(3) = -6x. Hii inalingana na usemi uliotolewa. Hivyo, x^2 - 6x + 9 = (x-3)(x-3) = (x-3)^2. Step 3: Bainisha urefu wa upande mmoja. Kwa kuwa eneo la shamba ni (x-3)^2, inamaanisha shamba hilo ni mraba, na urefu wa kila upande ni (x-3). Jibu: Urefu wa upande mmoja ni (x-3) m 3 done, 2 left today. You're making progress.