solve this ...☺️
with explanation
Answers
Ramesh made a mistake with the constant term ( and only the constant term).
⇒ So it means that root 8 and 2 is correct
If the root are 8 and 2, then the equation is:
( x - 8) ( x - 2) = 0
Expanding the equation, we get:
x² - 10x + 16 = 0
So since we know that Ramesh only make a mistake with the constant but not the root, therefore in the equation, x² - 10x + 16 = 0, only the 16 is wrong.
Now, lets look at Mahesh's mistake.
He found the roots as - 9 and - 1, his equation is:
( x + 9) ( x + 1) = 0
Expanding it, we get:
x² + 10x + 9 = 0
So since we know that Mahesh only make a mistake with the coefficient of x but not the constant, therefore in the equation, x² + 10x + 9 = 0 only the -10x is wrong.
Putting the parts that both got correct, we get the following equation:
* We take Ramesh's equation and replaced the constant term with that of Mahesh's.
x² - 10x + 9 = 0
Find the correct root:
x² - 10x + 9 = 0
(x - 1) (x - 9) = 0
x= 1 or 9
Answer: The correct root is are 1 and 9