Determine the nature of the roots using the discriminant of the quadratic formula.
The discriminant is positive, so the roots are real and unequal. But since it is also a perfect square, since √196 = 14, we can therefore say that the roots are also rational.
Answers & Comments
Answer:
No real Roots
hope it helps you
✏️ Nature of the Roots
Solution:
Given the quadratic equation![{\underline{\sf{5x^2 - 4x - 9 = 0}}} {\underline{\sf{5x^2 - 4x - 9 = 0}}}](https://tex.z-dn.net/?f=%20%7B%5Cunderline%7B%5Csf%7B5x%5E2%20-%204x%20-%209%20%3D%200%7D%7D%7D%20)
Determine the nature of the roots using the discriminant of the quadratic formula.
The discriminant is positive, so the roots are real and unequal. But since it is also a perfect square, since √196 = 14, we can therefore say that the roots are also rational.
So the correct answer is letter B.
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