Question

Solve by quadratic formula or completion of square.

x^2 - ( p^2 + q^2 )x + p^2q^2 = 0

Ans: q^2 , p^2

Standard:- 10

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Answer 1

solve by root method

Answer 2

Given Equation is x^2 - (p^2 + q^2)x + p^2q^2 = 0

= > x^2 - (p^2x + q^2x) + p^2q^2 = 0

= > x^2 - p^2x - q^2x + p^2q^2 = 0

= > x(x - p^2) - q^2(x - p^2) = 0

= > (x - q^2)(x - p^2) = 0

= > x = q^2, p^2.


Hope this helps!