Write the quadratic equation in the form
ax2 + bx + c = 0
The roots are equal if and only if b2 - 4ac = 0. The expression, b2-4ac is called the [quadratic] discriminant.
Chat with our AI personalities
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
If the discriminant of a quadratic equal is zero then it will have two equal roots.
A quadratic equation can have a maximum of 2 solutions. If the discriminant (b2-4ac) turns out to be less than 0, the equation will have no real roots. If the Discriminant is equal to 0, it will have equal roots. But, if the discriminant turns out to be more than 0,then the equation will have unequal and real roots.
If the discriminant of a quadratic equation is 0 then it has two equal real roots.
It has no roots because the discriminant of the given quadratic equation is less than zero.