If x² - 4x = 5, the value of x is :

1. 5

2. -1

3. 5 or -1

4. 5 and -1

If x² - 7x = 0, the value of x is :

1. 7

2. 0

3. 0 and 7

4. 0 or 7

The equation $\sqrt{15 - 2x} = x$.

Assertion (A): x = 3.

Reason (R): $\sqrt{15 - 2x} = x$

$\Rightarrow 15 - 2x = x^2 \\[1em] \Rightarrow x^2 - 2x - 15 = 0 \\[1em] \Rightarrow x = -5 \text{ or } x = 3$

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true and R is correct reason for A.

4. Both A and R are true and R is incorrect reason for A.

A quadratic equation ax² + bx + c = 0 ; where a, b and c are real numbers and a ≠ 0.

Assertion (A): The roots of equation 2x² + 5x - 3 = 0 are real and unequal.

Reason (R): For the equation ax² + bx + c = 0, the roots are real and unequal if b² - 4ac > 0.

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true and R is correct reason for A.

4. Both A and R are true and R is incorrect reason for A.