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
Huu ni mlinganyo wa quadratic. Tutautatua kwa kutumia fomula ya quadratic x = -b ± sqrt(b^2 - 4ac)2a. Step 1: Tambua coefficients a, b, na c kutoka kwa mlinganyo 2x^2 + x - 36 = 0. Hapa, a = 2, b = 1, na c = -36. Step 2: Badilisha maadili haya kwenye fomula ya quadratic. x = -1 ± sqrt(1^2 - 4(2)(-36))2(2) Step 3: Rahisisha usemi ulio chini ya mzizi wa mraba. x = -1 ± sqrt(1 - (-288))4 x = -1 ± sqrt(1 + 288)4 x = -1 ± sqrt(289)4 Step 4: Kokotoa mzizi wa mraba. Mzizi wa mraba wa 289 ni 17. x = (-1 ± 17)/(4) Step 5: Kokotoa maadili mawili yanayowezekana ya x. x_1 = (-1 + 17)/(4) = (16)/(4) = 4 x_2 = (-1 - 17)/(4) = (-18)/(4) = -(9)/(2) = -4.5 Kwa hivyo, maadili ya x ni: x_1 = 4 x_2 = -4.5 3 done, 2 left today. You're making progress.