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
Hapa kuna hatua za kutatua swali hilo: Step 1: Gawanya mlinganyo mzima kwa 2 ili kufanya mgawo wa x^2 kuwa 1. (2x^2)/(2) - (6x)/(2) + (4)/(2) = (0)/(2) x^2 - 3x + 2 = 0 Step 2: Hamisha nambari isiyobadilika (constant term) kwenda upande wa kulia wa mlinganyo. x^2 - 3x = -2 Step 3: Kamilisha mraba kwa kuongeza ((-3)/(2))^2 kwa pande zote mbili za mlinganyo. x^2 - 3x + ((-3)/(2))^2 = -2 + ((-3)/(2))^2 x^2 - 3x + (9)/(4) = -2 + (9)/(4) Step 4: Rahisisha upande wa kulia na andika upande wa kushoto kama mraba kamili. (x - (3)/(2))^2 = -(8)/(4) + (9)/(4) (x - (3)/(2))^2 = (1)/(4) Step 5: Chukua mzizi wa mraba wa pande zote mbili. x - (3)/(2) = ±sqrt((1)/(4)) x - (3)/(2) = ±(1)/(2) Step 6: Tatua kwa x. Kuna suluhisho mbili: x = (3)/(2) + (1)/(2) au x = (3)/(2) - (1)/(2) x = (4)/(2) au x = (2)/(2) x = 2 au x = 1 Thamani za x ni: x = 1 au x = 2 That's 2 down. 3 left today — send the next one.