| ‌=9(1296−1225)−25(576−625)+16(784−900) ‌=9(71)−25(−49)+16(−116) ‌=639+1225−1856=8 ‌∴K=8 So, the roots are K and K+1, i.e., 8 and 9 ‌ Sum of roots ‌‌=8+9=17 ‌=‌
−b
a
=α+β And product of roots =8×9=72 =‌
c
a
=αβ So, the general form of a quadratic equation is x2−(α+β)x+αβ=0 ⇒‌‌x2−17x+72=0