Question

(x-1)²+1=2x-3 is a quadratic equation? explain

Answer 1

Given Equation is (x - 1)^2 + 1 = 2x - 3.

= > x^2 + 1 - 2x = 2x - 3

= > x^2 - 2x + 1 + 3 = 2x

= > x^2 - 2x + 4 = 2x

= > x^2 - 2x - 2x + 4 = 0

= > x^2 - 4x + 4 = 0.

It is in the form of ax^2 + bx + c = 0

Where a = 1, b = -4, c = 4.


Therefore it is a quadratic equation.


Hope this helps!