What is smaller x^2+4 or x^2+4x
To determine which expression is smaller, we can set them equal to each other and solve for x.
x^2 + 4 = x^2 + 4x
We can subtract x^2 from both sides:
4 = 4x
Dividing both sides by 4:
1 = x
Now we can substitute x = 1 back into both expressions:
x^2 + 4 = 1^2 + 4 = 1 + 4 = 5
x^2 + 4x = 1^2 + 4(1) = 1 + 4 = 5
Both expressions are equal when x = 1, so neither expression is smaller than the other.