Construct a quadratic equation whose roots have the sum = 6 and product = −16.
Correct Answer: x2 - 6x - 16 = 0
Explanation:
Given that :- sum of the roots = 6
And Product of two roots = -16
The required quadratic equation is x2 − (sum of the roots) x + (product of the roots) = 0
⇒ x2 - 6x - 16 = 0