What does 2 equal roots mean?

Hint: A quadratic equation has equal roots iff its discriminant is zero. A quadratic equation has equal roots iff these roots are both equal to the root of the derivative.

What are equal and unequal roots?

When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real. When discriminant is less than zero, the roots are imaginary.

What is the quadratic formula example?

Examples of quadratic equations in other forms include: x(x – 2) = 4 [upon multiplying and moving the 4, becomes x² – 2x – 4 = 0] x(2x + 3) = 12 [upon multiplying and moving the 12, becomes 2x² – 3x – 12 = 0] 3x(x + 8) = -2 [upon multiplying and moving the -2, becomes 3x² + 24x + 2 = 0]

What is quadquadratic formula?

Quadratic Formula helps to evaluate the solution of quadratic equations replacing the factorization method. A quadratic equation is of the form of ax 2 + bx + c = 0, where a, b and c are real numbers, also called “ numeric coefficients”. Here x is an unknown variable, for which we need to find the solution.

How do you find the roots of a quadratic equation?

Equation (1) is a formula to find roots of the quadratic equation ax2+bx+c = 0, which is known as quadratic formula. Also, the expression under the radicand, i.e. b2 – 4ac is called the determinant (D) of the given quadratic equation. Based on the value of determinant, we can define the nature of roots. If D = 0, the two roots are real and equal.

What is a quadratic equation and how to find the solution?

A quadratic equation is of the form of ax 2 + bx + c = 0, where a, b and c are real numbers, also called “ numeric coefficients”. Here x is an unknown variable, for which we need to find the solution. The formula to find the solution of the quadratic equation is given by:

Does the quadratic formula apply to complex and complex coefficients?

It is interesting to note that the quadratic formula holds for complex coefficients as well, though you may have to do a little more simplifying for the final answer, and the roots will no longer come in conjugate pairs. Problems with quadratic expressions are nevertheless almost always given with real coefficients. Thanks!