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

Solution:

A quadratic equation is an algebraic expression of the second degree in x.

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b are the coefficients, x is the variable, and c is the constant term.

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.