It has one real solution if the discriminant of an equation is zero, option (A) is correct.
Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
Here:
Discriminant D:
[tex]\rm D =\sqrt{b^2-4ac}[/tex]
D = 0
[tex]\rm x = \dfrac{-b \pm0}{2a}[/tex]
x = -b/2a (one real solution)
Thus, it has one real solution if the discriminant of an equation is zero, option (A) is correct.
Learn more about quadratic equations here:
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