Final answer:
The quadratic equation that cannot be solved by extracting square roots is option C: x² + 4x + 3 = 0.
Step-by-step explanation:
The quadratic equation that cannot be solved by extracting square roots is option C: x² + 4x + 3 = 0.
To solve a quadratic equation by extracting square roots, the equation must be in the form x² = a. In option C, the equation is in the form x² + bx + c = 0 where b = 4 and c = 3. Therefore, it cannot be solved by extracting square roots.