which number makes this equation true?

Question

v^2+10x+16=(v+8)(v+?)

a ) 2
b ) 4
c ) 6
d ) 8

Answer 1

To find the missing number, we need to expand the right side of the equation:

(v+8)(v+?) = v^2 + v(?) + 8v + 8(?)

Comparing this to the left side of the equation, we see that the missing number must satisfy these two conditions:

v(?) + 8(?) = 10x
8(?) = 16

From the second condition, we can see that the missing number is 2.

To verify this, we substitute 2 for the missing number in the first condition:

v(2) + 8(2) = 10x
2v + 16 = 10x

This equation is consistent with the given equation v^2+10x+16=(v+8)(v+?). Therefore, the missing number that makes the equation true is 2.

So, the answer is a) 2.