Write the discriminant of the following quadratic equations:

(i)


(ii)


(iii)


(iv)


(v)


(vi)

(i)


For a quadratic equation, ax2 + bx + c = 0,


Discriminant, D = b2 – 4ac



⇒ D = 25 – 4 × 2 × 3 = 1


(ii)


For a quadratic equation, ax2 + bx + c = 0,


Discriminant, D = b2 – 4ac


Given,


⇒ D = 4 – 4 × 4 × 1 = - 12


(iii)


For a quadratic equation, ax2 + bx + c = 0,


Discriminant, D = b2 – 4ac


Given,


⇒ 2x2 – 3x + 1 = 0


⇒ D = 9 – 4 × 2 × 1 = 1


(iv)


For a quadratic equation, ax2 + bx + c = 0,


Discriminant, D = b2 – 4ac



⇒ D = 4 – 4 × 1 × k = 4 – 4k


(v)


For a quadratic equation, ax2 + bx + c = 0,


Discriminant, D = b2 – 4ac



⇒ D = 8 – 4 × √3 × -2√3 = 32


(vi)


For a quadratic equation, ax2 + bx + c = 0,


Discriminant, D = b2 – 4ac


Given,


⇒ D = 1 – 4 × 1 = -3


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