Question

x^(2)+10x+? complete the square DO NOT SOLVE X.. i need work shown step by step

Answer 1

Identity:
\[(a+b)^2 = a^2 + 2ab+b^2\]
So, in this case you have
x^2 + 10x + ? on the right.
Match the terms with the identity:
a^2 -> x^2
=> x=a

2ab = 10x
Put x=a into 2ab = 10x
2xb = 10x
Solve for b

The last term (?) is b^2. So, find b from above, the square it to find (?)