Question

What type of solutions does the quadratic equation, 8v2 + 8 = -11v, have?

Answer 1

Complex roots

Explanation:

Given

`8v^2 + 8 = -11v`

Required

The type of solution

Rewrite as:

`8v^2 +11v+ 8 = 0`

To determine the type of solution, we simply calculate the discriminant (D)

`D = b^2 - 4ac`

Where

`a = 8;\ \ \ b =11\ \ \ c = 8`

So, we have:

`D = 11^2 - 4 * 8 * 8`

`D = 121 - 256`

`D = -135`

The above value implies that:

`D<0`

When
`D<0`, the solution of the equation is: complex roots