# Q2.    Find the roots of the quadratic equations given in Q.1 above by applying the quadratic formula.

D Divya Prakash Singh

(i)

The general form of a quadratic equation is : , where a, b, and c are arbitrary constants.

Hence on comparing the given equation with the general form, we get

And the quadratic formula for finding the roots is:

Substituting the values in the quadratic formula, we obtain

Therefore, the real roots are:

(ii)

The general form of a quadratic equation is : , where a, b, and c are arbitrary constants.

Hence on comparing the given equation with the general form, we get

And the quadratic formula for finding the roots is:

Substituting the values in the quadratic formula, we obtain

Therefore, the real roots are:

(iii)

The general form of a quadratic equation is : , where a, b, and c are arbitrary constants.

Hence on comparing the given equation with the general form, we get

And the quadratic formula for finding the roots is:

Substituting the values in the quadratic formula, we obtain

Therefore, the real roots are:

(iv)

The general form of a quadratic equation is : , where a, b, and c are arbitrary constants.

Hence on comparing the given equation with the general form, we get

And the quadratic formula for finding the roots is:

Substituting the values in the quadratic formula, we obtain

Here the term inside the root is negative

Therefore there are no real roots for the given equation.

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