@hemant_malhotra said in Question Bank - Algebra - Hemant Malhotra:
Let a < b < c be the three real roots of the equation √2014 x^3 - 4029 x^2 + 2 = 0. Find b(a + c).
https://artofproblemsolving.com/wiki/index.php/2014_AIME_I_Problems/Problem_9
@Naman-Jain-0
Partition method is applicable for cases like dividing n identical objects among r distinguishable parts right ? How would you apply it here ?
Q96) From a rectangular sheet of dimensions 30 cm × 20 cm, four squares of equal size are cut from the four corners. Then the resulting four sides are bent upwards to give it the shape of an open box. If the volume of the box is 1056 cm^3, what is the length of the side of the squares cut from the corners?
[OA: 4]