A rectangle with a diagonal of length 28m is inscribed

‘a’ is directly proportional to ‘b’. If at a=30, the value of ‘b’ is 20% greater than ‘a’, then find the value of ‘a’ when b=54.

If a + `1/b` = 1 and b + `1/c` =1 , then the value of c + `1/a` is

The average of three numbers a, b and c is 2 more than c. The average of a and b is 48. If d is 10 less than c, then the average of c and d is:

√(9²×8 ×5²+700) = ?

If x⁴ + x ^{- 4} = 47 then find the value of (x + x^-1).

If a + b + c = 5, a³ + b³ + c³ = 85 and abc =25, then find the value of a² + b² + c² – ab –bc – ca

If 10x² – 6xy+y² – 4x+4= 0, then find the value of (3x+2y).

Find the value of ‘x’ in the given expression:

(49/16)^x × (64/343)^x-1 = 4/7