Question

The equation (X-2)ᒾ +1 = 2X-3 is a_________. 
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Answer 1

Answer:

Step-by-step explanation:

Quadratic Equation...

Answer 2

Given,

The main equation is (x-2)²+1 = 2x-3

To find,

The type of the given main equation.

Solution,

First of all, we have to simplify the given equation for better analysis of the equation.

Simplification of the given equation :

(x-2)²+1 = 2x-3

x²-4x+4+1 = 2x-3

x²-4x+5 = 2x-3

x²-4x+5-2x+3 = 0

x²-6x+8 = 0

The final form of the given equation is very similar to the general form of a quadratic equation.

Here,

a = 1

b = -6

c = 8

Equation can be rewritten as,

ax²+bx+c = 0

This is a quadratic equation if we apply the previous values of a,b and c.

Hence, the given equation is a quadratic equation.