Answered

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

Sagot :

MrRoyal

Answer:

Complex roots

Step-by-step explanation:

Given

[tex]8v^2 + 8 = -11v[/tex]

Required

The type of solution

Rewrite as:

[tex]8v^2 +11v+ 8 = 0[/tex]

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

[tex]D = b^2 - 4ac[/tex]

Where

[tex]a = 8;\ \ \ b =11\ \ \ c = 8[/tex]

So, we have:

[tex]D = 11^2 - 4 * 8 * 8[/tex]

[tex]D = 121 - 256[/tex]

[tex]D = -135[/tex]

The above value implies that:

[tex]D<0[/tex]

When [tex]D<0[/tex], the solution of the equation is: complex roots

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