Solve by componendo dividendo method

Solve by composing dividend method

Componendo and dividendo

Write the result after applyin componendo and dividendo to 3a^(2)+2b^(2):3a^(2)-2b^(2): :3c^(2)+2d^(2):3c^(2)-2d^(2) .

Given x = (sqrt(a^(2) + b^(2)) + sqrt(a^(2) - b^(2)))/(sqrt(a^(2) + b^(2)) - sqrt(a^(2) - b^(2))) . Use componendo and dividendo to prove that : b^(2) = (2a^(2)x)/(x^(2) + 1) .

If 7x - 15y = 4x + y , find the value of x: y . Hence, use componendo and dividendo to find the values of : (i) (9x + 5y)/(9x - 5y) (iI) (3x^(2) + 2y^(2))/(3x^(2) - 2y^(2))

If a/b=c/d then write its componendo and dividendo form.