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 master, twende na swali hili. Step 1: Rahisisha usemi wa aljebra. Namba ya juu, x^2-1, ni tofauti ya miraba, ambayo inaweza kuandikwa kama (x-1)(x+1). Hivyo, mlinganyo unakuwa: ((x-1)(x+1))/(x-1) = 4 Step 2: Futa vigezo vinavyofanana. Kama x-1 ≠ 0 (yaani, x ≠ 1), tunaweza kufuta (x-1) kutoka juu na chini: x+1 = 4 Step 3: Tatua kwa x. Toa 1 kutoka pande zote mbili za mlinganyo: x = 4 - 1 x = 3 Step 4: Thibitisha jibu. Kumbuka kwamba tulidhani x ≠ 1. Thamani yetu ya x=3 inakidhi sharti hili. Kwa hiyo, thamani ya x ni 3. Jibu sahihi ni (a). Thamani ya x ni 3 That's 2 down. 3 left today — send the next one.