Question

Check whether the following are quadratic equations.
x² - 25 - 3x = (x-2)²​

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Answer 1

Answer:

x²-25-3x=x²+4-4x

or, x²-25-3x-x²+4+4x=0

or,21+x=0

or,x=21

Answer 2

Answer:

No, They are not quadratic equations.

Step-by-step explanation:

${x}^{2} - 25 - 3x = (x - 2) {}^{2}$

${x}^{2} - 25 - 3x = {x}^{2} - 2 \times x \times 2 + {2}^{2}$

${x}^{2} - 25 - 3x = {x}^{2} - 4x + 4$

${x}^{2} - 25 - 3x - {x}^{2} + 4x - 4 = 0$

${x}^{2} - {x}^{2} - 25 - 4 - 3x + 4x = 0$

$- 29 + 1x = 0$

In the following equation the highest power is not 2.

Hence they are not quadratic equations.