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If a + b + c = 11, ab + bc + ca = 3 and abc = -135, then what is the value of a³ + b³ + c³ ?
If ab + bc + ca = 0
Find the value of 1/(a2 - bc) + 1/(b2 - ca) + 1/(c2 - ab)
Find the values of 'a' and 'b', so that the polynomial x3 − ax2 − 13x + b has (x−1) and (x+3) as factors:
If there are a total of 1000 students in the school, how many students prefer Mathematics and science?
If a +`1/b` = 1 and b +`1/c` =1 , then the value of c +`1/a` is
A man covered 40 km by bus and rest 25 km on foot. If the speed of the bus is 150% more than that of the man and the whole distance is covered in 2 hour...
The roots of the quadratic equation x² + px + q = 0 are in the ratio 3:4. If the sum and product of the roots are 7 and 12, respectively, find the valu...
If a – b – c = 0, then the value of (a2 + b2 + c2)/(b + ac) is:
