13. For what value of *,*° - 2x2 - 2x - 3 and*? - 2x - 3 becomes equa

1.	13. For what value of ,° - 2x2 - 2x - 3 and*? - 2x - 3 becomes equal to zero?(a) 3(d) 1(6) 4(c)
Answer» x^2 - 2x - 3 = 0x^2 - 3x + x - 3 = 0x(x - 3) + 1(x - 3) = 0(x +1)(x - 3) = 0 x^3 - 2x^2 - 2x - 3 = 0x^3 - 3x^2 + x^2 - 3x + x - 3 = 0x^2(x - 3) + x(x - 3) + 1(x - 3) = 0(x - 3)(x^2 + x + 1) = 0 As both the equations have common zero 3. Therefore for x = 3 both given equations will be equal to 0. (a) is correct option

13. For what value of ,° - 2x2 - 2x - 3 and*? - 2x - 3 becomes equal to zero?(a) 3(d) 1(6) 4(c)

Answer»

x^2 - 2x - 3 = 0x^2 - 3x + x - 3 = 0x(x - 3) + 1(x - 3) = 0(x +1)(x - 3) = 0

x^3 - 2x^2 - 2x - 3 = 0x^3 - 3x^2 + x^2 - 3x + x - 3 = 0x^2(x - 3) + x(x - 3) + 1(x - 3) = 0(x - 3)(x^2 + x + 1) = 0

As both the equations have common zero 3. Therefore for x = 3 both given equations will be equal to 0.

(a) is correct option