Given quadratic equation: 5x2−8x−α=0 and roots are −5 and 2β Now, sum of roots: ⇒−5+2β=−(−8)∕5=8∕5 ⇒2β=8∕5+5=33∕5 ⇒β=33∕10 Now, Product of the roots: ⇒(−5)(2β)=−α∕5 ⇒−10(33∕10)=−α∕5 ⇒α=33×5=165 Hence, option ( 2 ) is correct.