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
Step 1: Tatua usawa. Tunapewa usawa: 3b^2 - 6 42 Ongeza 6 pande zote mbili: 3b^2 42 + 6 3b^2 48 Gawanya kwa 3 pande zote mbili: b^2 (48)/(3) b^2 16 Chukua mzizi wa mraba pande zote mbili. Kumbuka kuwa b inaweza kuwa chanya au hasi: sqrt(b^2) sqrt(16) |b| 4 Hii inamaanisha kuwa b iko kati ya -4 na 4, ikijumuisha -4 na 4. -4 b 4 Step 2: Tambua nambari nzima (whole numbers) zinazokidhi usawa. Nambari nzima ni nambari zisizo hasi 0, 1, 2, 3, .... Kutoka kwenye usawa -4 b 4, nambari kamili (integers) ni \-4, -3, -2, -1, 0, 1, 2, 3, 4\. Nambari nzima katika seti hii ni zile zisizo hasi. Step 3: Andika seti ya suluhisho. Seti ya suluhisho kwa b ikiwa nambari nzima ni: \0, 1, 2, 3, 4\ Tuma swali linalofuata 📸