-in maths test two representatives while solving a quadratic equation comitted following mistakes

1. one of them made a mistake in constant term and got the roots 5 and 9
2. another one committed an error in the coefficient of x and got the roots as 12 and 4 find the equation
3.  

Dear Student,

Please find below the solution to the asked query:

Given :  While solving a quadratic equation committed mistakes

1 ) One of them made a mistake in constant term and got the roots 5 and 9 , So

Our equation = ( x  -  5 ) ( x  - 9 )

$\Rightarrow$x² - 5 x  - 9 x  + 45

$\Rightarrow$x² - 14 x  + 45  , Here " 45 " is wrong

2 ) One of them made a mistake in coefficient of x and got the roots 12 and 4 , So

Our equation = ( x  -  12 ) ( x  - 4 )

$\Rightarrow$x² - 4 x  - 12 x  + 48

$\Rightarrow$x² - 16 x  + 48  , Here " - 16 " is wrong

So,

Our right equation  = x² - 14 x  + 48                                                                        ( Ans )


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