If the triplicate of `(x+a)/(x+b) " is " a/b` , that show that `x^(3) - 3 abx - ab (a +b) = 0`.

If the triplicate of the ratio (x+a) : (x + b) " is " a : b , then prove that x^(3) - 3abx - ab(a +b) = 0 .

If a, b in R, then the equation x^(2) - abx - a^(2) = 0 has

If a, b in R, then the equation x^(2) - abx - a^(2) = 0 has

If a^(3-x).b^(5x) = a^(5+x).b^(3x) , then show that x log (b/a) = log a .

If a^(2-x).b^(5x) = a^(x+3).b^(3x) , then show that x log (b/a) = 1/2 loga .

If the tangents of the angles A, B of a Delta ABC ...satisfy the equation abx^2 - c^2x + ab = 0, then the triangle is:

If the roots of (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are equal then show that a=b=c

Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2) a ^(2) x ^(3) + 23 abx ^(2) + b ^(2) x

(a+b)^(2)x^(2)-4abx-(a-b)^(2)=0