Find out which of the following sentences are statements and which are not. Justify your answer.
x2 + 5|x| + 6 = 0 has no real roots.
Concept Used: A statement is an assertive (declarative) sentence if it is either true or false but not both.
Here, If x>0,
x2+5|x|+6=0
x2+5x+6=0
x = -3 or x = -2
But, Since x>0, the equation has no roots.
If x<0,
x2+5|x|+6=0
x2 - 5x+6=0
But, Since x<0, the equation has no real roots.
Hence,it is a statement.