If the discriminant of a quadratic equation is negative, which of the following is true of the equation?
We will use the concept of Sridharacharya's formula in order to find out the required answer.
Answer: If the discriminant of a quadratic is negative, then the equation will have imaginary roots.
Let us see how we will use the concept of Sridharacharya's formula in order to find out the required answer.
Let us consider a quadratic equation of the form of ax2 + bx + c.
According to Sridharacharya's formula, roots of the quadratic equation will be given as,
x = [-b ± √ ( b2 - 4ac)] / 2a
The discriminant of the quadratic equation is given as D = b2 - 4ac.
We can see that if D < 0, then x becomes an imaginary value.