Every quadratic equation has at least one root.

State whether the following statement is true or false. Justify your answer

If in a quadratic equation the coefficient of $x$ is zero, then it has no real roots

State whether the following statement is true or false. Justify your answer

If the coefficient of $x^2$ and the constant term have same sign and the coefficient of $x$ is zero, then the quadratic equation has no real roots

State whether the following statement is true or false. Justify your answer

$0.2$ is a root of the equation $x^2-0.4=0$