1.

Check whether the following are quadratic equation.(2x – 1) (x – 3) = (x + 5) (x – 1)

Answer»

Given: (2x – 1) (x – 3) = (x + 5) (x – 1)

⇒ 2x (x – 3) -1 (x – 3) = x (x – 1) + 5(x – 1) 

⇒ 2x2 – 6x – x + 3 = x2 – x + 5x – 5 

⇒ 2x2 -7x + 3 – x2 – 4x + 5 = 0 

⇒ x2 – 11x + 8 = 0 

Hence it’s a Q.E.

(or) 

Co.eff. of x2 on L.H.S. = 2 × 1 = 2 

Co.eff. of x2 on R.H.S = 1 × 1 = 1 

LHS ≠ RHS Hence it is a Q.E.



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