Is the equations of quadratic number pattern will always have real roots

No, not at all.

The general quadratic equation is

Ax² + Bx + C = 0.

The roots are real only if (B² - 4AC) is not negative.

That means if you graph it, it touches or crosses the x-axis.

If the graph is up in the air and never touches the x-axis,

then it has no real roots.