Question

NEED HELP NOW One solution to a quadratic equation is x=-5/3 What is true about any remaining solutions? There are no complex solutions. There are no other real solutions. There are two or more complex solutions. There is exactly one complex solution. There is exactly one more real solution. There are at least two more real solutions.

Answer 1

Given:

One solution to a quadratic equation is
`x=-(5)/(3)`.

To find:

The true statement about remaining solutions.

Solution:

We know that, number of solution to a quadratic equation is 2.

According to the complex conjugate root theorem, if a complex number x+iy is a root of an equation then its conjugate x-iy is also a root of that equation.

It means, the complex roots are in the pair of two.

Using complex conjugate root theorem, a quadratic equation has either 0 complex roots or 2 complex roots.

One solution to a quadratic equation is
`x=-(5)/(3)`, which is real.

There are no complex solutions and there is exactly one more real solution.

Therefore, the correct options are A and E.