NCERT Solutions for Maths Class 10 Chapter 4
Exercise 4.1 Question 1: Check whether the following are quadratic equations: (i) ((x_1)^2=2(x-3)) (ii) (x^2-2x=(-2)(3-x)) (iii) ((x-2)(x+1)=(x-1)(x+3)) (iv) ((x-3)(2x+1)=x(x+5)) (v) ((2x-1)(x-3)=(x+5)(x-1)) (vi) (x^2+3x+1=(x-2)^2) (vii) ((x+2)^3=2x(x^2-1)) (viii) (x^34x^2-x+1=(x-2)^2) Answer: (i) ((x+1)^2=2(x-3)) (⇒x^2+2x+1=2x-6) (⇒x^2+7=0) It is of the form (ax^2+bx+c=0) Hence, the given equation is a quadratic equation. (ii) (x^2-2x(-2)(3-x)) (⇒x^2-2x=-6+2x) (⇒x^2-4x+6=0) It is of the form […]
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