An equation equivalent to the quadratic equation x2 −

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An equation equivalent to the quadratic equation x² − 6x + 5 = 0 is :

1. 6x² - 5x +1 = 0
2. x² - 5x + 6 = 0
3. 5x² - 6x +1 = 0
4. | x - 3 | = 2

Correct Option: D

We can say that ,
The given quadratic equation x² − 6x + 5 = 0 ⇔ ( x - 5 )( x - 1 ) = 0 ⇔ x = 5 or 1
Now , | x - 3 | = 2 ⇔ ( x - 3 ) = 2 or - ( x - 3 ) = 2 ⇔ x = 3 + 2 = 5 or x = 3 - 2 = 1
∴ x² - 6x + 5 = 0 and | x - 3 | = 2 are equivalent.