Question

If the graph of a quadratic polynomial $a{x}^2+bx+c$ touches the X-axis at just one point (as shown above), which of the following statements is correct?

• A. The corresponding quadratic equation $a{x}^2+bx+c=0$ has NO real roots.
• B. The corresponding quadratic equation $a{x}^2+bx+c=0$ has two equal roots / $1$ root.
• C. The corresponding quadratic equation $a{x}^2+bx+c=0$ has $2$ distinct real roots.
• D. Nothing can be concluded from the graph.

Answer 1

Answer: (B)

The corresponding quadratic equation $a{x}^2+bx+c=0$ has two equal roots / $1$ root.

If graph touches $x-axis$ at only one point then it means $D=0$ So equal roots.