# 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 ax^{2} + bx + c.

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

x = [-b ± √(b^{2} - 4ac)] / 2a

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

D = b^{2} - 4ac.

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

Therefore,

if D < 0,

then √(b^{2} - 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.

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