SupremeNerdx
SupremeNerdx
29.11.2021 • 
Mathematics

A student solves the following equation for all possible values of x: StartFraction 8 Over x 2 EndFraction = StartFraction 2 Over x minus 4 EndFraction His solution is as follows: Step 1: 8(x â€" 4) = 2(x 2) Step 2: 4(x â€" 4) = (x 2) Step 3: 4x â€" 16 = x 2 Step 4: 3x = 18 Step 5: x = 6 He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0. Which best describes the reasonableness of the student’s solution?.

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