Question

The graph of the polynomial f(x) = ax² + box + c is as shown in fig.

Write the value of b² – 4ac and the number of real zeros of f(x).

Answer 1

b ² – 4ac = 0,

Two

The given quadratic equation touches the x - axis at only one point.

The root of the quadratic equation is equal and real because if the quadratic equation has two distinct roots, then the graph touches the x - axis at two points.

As we know that the roots are real and equal if the value of discriminant is zero,

So, b ² – 4ac = 0