Falling Behind in Studies? Join Our Performance Improvement Batch. Enroll For Free
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
All the roots of x^3 + a.x^2 + b.x + c are positive integers greater than 2 , and the coefficients satisfy a+b+c+1=2009. Find |a|?
Let the roots be r, s, and t. Then they satisfy r + s + t = −a, rs + st + rt = b, and rst = −c. So wehave −(a + b + c + 1) = r + s + t − rs − rt − st + rst − 1 = (r − 1)(s − 1)(t − 1) = 2009 = 7 ∗ 7 ∗ 41.Thus the roots are 8, 8, and 42, and a = −(r + s + t) = −58.Hence |a| = 58
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -