A quadratic equation in form ax2 + bx + c = 0 cannot have:

a. one real solution.
b.one imaginary solution.
c.two real solutions.
d,two imaginary solutions.

Respuesta :

Answer:

b. one imaginary solution

Step-by-step explanation:

If there is an imaginary solution the second term is always +/- ci where c is a real constant

A quadratic equation in form ax2 + bx + c = 0 cannot have one imaginary solution.

What is a quadratic equation?

The quadratic formula helps to evaluate the solution of quadratic equations by replacing the factorization method.

The general form of a quadratic equation is ax^2 + bx + c = 0, where a, b and c are real numbers, also called “numeric coefficients”.

By finding out the value of the discriminant, we can predict the nature of the roots.

There are three possibilities with three different implications:

  • Two distinct roots which are real, if b2 - 4ac > 0.

  • Two real roots equal in magnitude, if b2 - 4ac = 0.

  • Imaginary roots or absence of real roots if b2 - 4ac < 0.

Hence, A quadratic equation in form ax2 + bx + c = 0 cannot have one imaginary solution.

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