CBSE Class 10 Maths (Standard) 2017 · Paper 30(B) · Question 11

Quadratic Equations 3 marks Medium

Show that

x = - \frac{b c}{a d}

is a solution of the quadratic equation

a d^{2} (\frac{a x}{b} + \frac{2 c}{d}) x + b c^{2} = 0

Answer

Substituting

x = - \frac{b c}{a d}

gives

b c^{2} - 2 b c^{2} + b c^{2} = 0

, so

x = - \frac{b c}{a d}

is indeed a solution of the equation.

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