Find the sum of the squares of the roots of 3x^2 + 4x + 12 = 0.

Step-by-step explanation:

The given quadratic equation is

Where a=3, b=4, and c=12.

Let m and n be the roots.

The sum of the squares of the roots becomes:

This implies that:

Substitute a=3, b=4 and c=12 to get;

We evaluate to get:

Step-by-step explanation:

Considering the equation

similarly,

Finding the sum of the squares of the roots

as

and

so

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step-by-step explanation: