Write whether the equation $ (x - 2)^2 = x^2 - 4x + 4 $, where $ a, b, c $ are real numbers and $ a \ne 0 $, can be expressed in the form $ ax^2 + bx + c = 0 $.

Q.Write whether the equation $ (x - 2)^2 = x^2 - 4x + 4 $, where $ a, b, c $ are real numbers and $ a \ne 0 $, can be expressed in the form $ ax^2 + bx + c = 0 $.

$(x - 2)^2 = x^2 - 4x + 4$ Or, $x^2 - 2 \cdot x \cdot 2 + 2^2 = x^2 - 4x + 4$ Or, $x^2 - 4x + 4 = x^2 - 4x + 4$ Or, $x^2 - 4x + 4 - x^2 + 4x - 4 = 0$ The given equation is an identity. Therefore, it cannot be written in the form $ax^2 + bx + c$.

Similar Questions

Warning: Undefined array key 26 in /home/u275975018/domains/ganitsarani.in/public_html/en/common/searchfunctions_eng.php on line 431

Fatal error: Uncaught ValueError: substr_count(): Argument #2 ($needle) cannot be empty in /home/u275975018/domains/ganitsarani.in/public_html/en/common/searchfunctions_eng.php:432 Stack trace: #0 /home/u275975018/domains/ganitsarani.in/public_html/en/common/searchfunctions_eng.php(432): substr_count() #1 /home/u275975018/domains/ganitsarani.in/public_html/en/common/searchfunctions_eng.php(389): en_bookarray() #2 /home/u275975018/domains/ganitsarani.in/public_html/en/answer.php(332): en_sortvalue() #3 {main} thrown in /home/u275975018/domains/ganitsarani.in/public_html/en/common/searchfunctions_eng.php on line 432