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