If x ≠ 0 and x − 1/x = 5, find:
(i) x² + 1/x²
(ii) x³ − 1/x³
If x 8 + x -8 = 194, then find the value of (2x 2 – 4) 2 – 1.
If x + y + z = 10 and x² + y² + z² = 36, then what is the value of x y + y z + z x?
If 125x3 - 216y3 = (5x - Ay) X (Bx2 + 36y2 + Cxy), then find the value of 3 X (2A + 6B) - 2C.
Fing the value of:
[(1024)(n/5) × (4)(2n+1) ] / [(16)n × (4)(n-1) ]
(√ (sec2 θ + cosec2 θ )) ((sinθ (1 + cosθ ))/(1 + cos&thet...
If a – b – c = 0, then the value of (a2 + b2 + c2)/(b + ac) is:
The curved surface area of a cylinder is 462 cm² and its base area is 346.5 cm². What is the volume (in cm³) of the cylinder? (Use π =...