If -5 is a root of the quadratic equation 2x² + px - 15 = 0 and the quadratic equation p(x² + x) + k = 0 has equal roots, then the value of k is:

1. $\dfrac{7}{4}$

2. $\dfrac{5}{4}$

3. $\dfrac{3}{4}$

4. $\dfrac{1}{4}$

Assertion (A): The discriminant of the quadratic equation $x^2 + 2\sqrt{2}x + 1 = 0$ is greater than zero.

Reason (R): If the discriminant of a quadratic equation is greater than zero, the quadratic equation has real and distinct roots.

1. Both A and R are true, and R is the correct explanation of A.

2. Both A and R are true, but R is not the correct explanation of A.

3. A is true, but R is false.

4. A is false, but R is true.

Assertion (A): The roots of the quadratic equation 3x² + 7x + 8 = 0 are imaginary.

Reason (R): The discriminant of a quadratic equation is always positive.

1. Both A and R are true, and R is the correct explanation of A.

2. Both A and R are true, but R is not the correct explanation of A.

3. A is true, but R is false.

4. A is false, but R is true.

Assertion (A): The roots of the quadratic equation 8x² + 2x - 3 = 0 are -$\dfrac{1}{2}$ and $\dfrac{3}{4}$.

Reason (R): The roots of the quadratic equation ax² + bx + c = 0 are given by $x = \dfrac{-b \pm \sqrt{b^{2} - 4ac}}{2a}$.

1. Both A and R are true, and R is the correct explanation of A.

2. Both A and R are true, but R is not the correct explanation of A.

3. A is true, but R is false.

4. A is false, but R is true.