Question

the equation (x-2)2 + 1 = 2x- 3 is a.............​

Answer 1

Step-by-step explanation:

The equation (x – 2)² + 1 = 2x – 3 is a * linear equation quadratic equation cubic equation bi-quadratic equation.

Answer 2

SOLUTION

TO FILL IN THE BLANK

The equation ( x - 2 )² + 1 = 2x - 3 is a _____

EVALUATION

Here the given equation is

( x - 2 )² + 1 = 2x - 3

We now simplify it as below

( x - 2 )² + 1 = 2x - 3

⇒ x² - 4x + 4 + 1 = 2x - 3

⇒ x² - 6x + 8 = 0

The above equation is of the form

ax² + bx + c = 0 where a ≠ 0

Hence the given equation is a quadratic equation

FINAL ANSWER

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

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