Question

Determine the
the nature of the roots of
-atic Equation X+5x-36=0
the quada​

Answer 1

Answer:

Step-by-step explanation:

Nature of roots can be determined by its determinant (D). Its formula is b² - 4ac.

If D > 0, roots are real and distinct.

If D = 0, roots are real and equal.

If D < 0, roots are imaginary (not a real number) and unequal.

Here, D = b² - 4ac => 5² - 4(1)(-36)

=> 25 + 144 => 169         [Minus and minus combine to become plus.]

As D = 169 > 0, roots are real and distinct.

Answer 2

Answer:

Real roots .

Step-by-step explanation:

The equⁿ is x² + 5x - 36 = 0 .

Discriminant is b² - 4ac .

=> 5² - 4*1*(-36)

=> 25 + 144

=> 169

Since the discriminant is +ve . Hence roots are real ,not imaginary or complex.