Question

Which number makes this equation true? v2 + 10v + 16 = (v + 8)(v + ?)

Answer 1

We can always replace the question mark in for a variable, such as x. So, we have to find x in order to find the missing number.


`v^2 + 10v + 16 = (v + 8)(v + x) \\ \\ (v^2 + 10v+16)/(v+8) = v + x \\ \\ ((v+2)(v+8))/(v+8) = v + x \\ \\ v + 2 = v + x \\ \\ 2 = x \\ \\ x = 2 \\ \\`

The final result is: x = 2

So, number that makes this equation true is 2.