Question

Can a quadratic polynomial equation with real coefficients have one real solution and one complex solution? If so,

Answer 1

Answer:

No

Step-by-step explanation:

We have to find that a quadratic polynomial equation with real coefficient can have one real solution and one complex solution.

quadratic equation is given by

$ax^2+bx+c=0$

It can be written as  the product of linear factors

$ax^2+bx+c=a(x-r_1)(x-r_2)$

Where $r_1,r_2$ are solutions of the given  polynomial equation.

No , a quadratic polynomial equation can not  have one real solution and one complex solution because complex root are always in paired not a single.

A quadratic equation have two roots only.

If a quadratic equation have complex root then the equation have both complex root .

If  a equation have real root then it have both real.

Therefore, a quadratic equation can not have one real and one compelx solution.