Question

Determine the nature of the root of the quadratic equation
${3x}^{2} - 7x - 44 = 0$
​

Answer 1

Answer:

real and unequal,  for all x ∈ R

Step-by-step explanation:

Nature of roots is determined by the discriminant(value under square root).  

In general, discriminant = b² - 4ac,   for ax² + bx + c = 0.

Here,

a = 3  ;  b = - 7    ;  c = - 44

 So discriminant is,

⇒ b² - 4ac

⇒ (-7)² - 4(3)(-44)

⇒ 49 + 528

⇒ 577,        as it not 0,it means, roots are real and unequal.