Math, asked by jothikayakad96, 2 months ago

determine the nature of the roots of the quadratic equation x²+5x-36=0​

Answers

Answered by shilshaurya5606
3

Answer:

Roots are real and distinct.

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.

Answered by Rakhi2121
3

Answer:

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