Question

Nature of the roots and discriminant24x² = 2x + 15

Answer 1

Answer:

real and unequal roots.

Step-by-step explanation:

Given equation,      24x² = 2x + 15

=> 24x² - 2x - 15 = 0

The quadratic equation is of the form  ax²+bx+c = 0

a = 24, b = -2 and c = -15

To find the nature of roots, we have to find

D = b² - 4ac

D = (-2)² - 4(24)(-15)

= 4 + 1440

= 1444

D > 0 ; the equation has real and unequal roots.

NATURE OF ROOTS :

If D < 0 ; no real roots

If D = 0 ; real and equal roots

If D > 0 ; real and unequal roots.