If the discriminant of an equation is negative, which of the following is true of the equation.

Solution:

Now let us consider a quadratic equation of the form of ax² + bx + c.

According to formula, of the quadratic equation will be given as,

x = [-b ± √(b² - 4ac)] / 2a

So, the discriminant of the quadratic equation is given as:

D = b² - 4ac.

Then, we can see that if D < 0, then x becomes an imaginary value.

Therefore,

if D < 0,

then √(b² - 4ac) is a negative value and the roots will be imaginary.

If the discriminant of an equation is negative, which of the following is true of the equation.

Summary:

If the discriminant of an equation is negative, then the roots will be imaginary.