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
Sawa Dennis, twende kazi. Ili kutatua mlinganyo wa quadratic kwa kukamilisha mraba, tunafuata hatua hizi: Step 1: Weka mlinganyo sawa na sifuri na hamisha nambari isiyo na x (constant term) upande wa kulia. Mlinganyo uliotolewa ni x^2 + 6x - 720. Tunauweka sawa na sifuri: x^2 + 6x - 720 = 0 Ongeza 720 pande zote mbili: x^2 + 6x = 720 Step 2: Kamilisha mraba upande wa kushoto. Chukua nusu ya mgawo wa x (ambayo ni 6), kisha ipandishe mraba. Nusu ya 6 ni (6)/(2) = 3. Mraba wa 3 ni 3^2 = 9. Ongeza 9 pande zote mbili za mlinganyo: x^2 + 6x + 9 = 720 + 9 Step 3: Andika upande wa kushoto kama mraba kamili na kurahisisha upande wa kulia. (x + 3)^2 = 729 Step 4: Chukua mzizi wa mraba pande zote mbili. sqrt((x + 3)^2) = ±sqrt(729) x + 3 = ± 27 Step 5: Tatua kwa x. Kuna uwezekano mbili: Uwezekano wa kwanza: x + 3 = 27 Toa 3 pande zote mbili: x = 27 - 3 x = 24 Uwezekano wa pili: x + 3 = -27 Toa 3 pande zote mbili: x = -27 - 3 x = -30 Hivyo, suluhisho za mlinganyo ni: x = 24 au x = -30 That's 2 down. 3 left today — send the next one.