This is the basic and conceptual question from quadratic equation chapter in which we have given a equation ad²(ax/b+2c/d)x+bc²=0 and we have been asked to show that x=-bc/ad is the root of the equation

Kindly solve the above problem in detail

RS Aggarwal, Class 10, chapter 4A, question no 4

Given ad²(ax/b+2c/d)x+bc²=0 … (1)

x=−bc/ad is solution of equation (1), if it satisfy the equation.

ad²(−bc/bd+2c/d)×−bc/ad+bc²=0

(−bcd+2bcd)/bd²×−bcd+bc²=0

bcd/bd²×−bcd+bc²=0

−bc²+bc²=0

Which is true

So x=−bc/ad is a solution of given quadratic equation