Find the roots of the quadratic equations 4x^2 + 4√3 + 3 = 0.

Question

Find the roots of the quadratic equations 4x² + 4\(\sqrt{3}\)x + 3 = 0.

Answer 1

We know that roots of the quadratic equation ax² + bx + c = 0 is given by

Now, comparing quadratic equations 4x² + 4\(\sqrt{3}\)x + 3 = 0 with standard quadratic equation ax² + bx + c = 0, we get a = 4, b = 4\(\sqrt{3}\) and c = 3.

Therefore, the roots of given quadratic equation are

Hence, the given quadratic equation has two equal roots \(\frac{-\sqrt{3}}{2}.\)

Answer 2

Here is your answer

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