Question

Why does t+5 squared = t + 5, but a^2 + 6a + 9 squared = |a + 3|, instead of a + 3?

Answer 1

\[\sqrt{t + 5} = t + 5..\]

Answer 2

That is the problem that you are to solve:
\[\sqrt{t+5}=t+5\] Step 1. square both sides of the equation getting:\[t+5=t ^{2}+10t+25\] consolidate terms and simplify
\[t ^{2}-9t+20\] quadratic equation that can be factored and solved.
\[(t-5)(t-4)=0\]
t=5 and t=4

Answer 3

the other equation is stating:
\[a ^{2}+6a+9=(a+3)^{2}\] which is true. Any more questions?