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Question

If two persons A and B solve the equation, x2+ax+b=0, while solving, A commits a mistake the coefficient of x was taken as in 15place of -9and finds the roots as -7and -2 Then, the equation is.


A

x2+9x+14=0

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B

x29x+14=0

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C

x2+9x14=0

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D

x29x14=0

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E

None of these

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Solution

The correct option is B

x29x+14=0


Explanation for the correct answer:

To find the required equation:

Given,

The incorrect equation is x215x+b=0.

It is given that7,2are the roots of the incorrect equation is

We know that product of roots is b1 that is constant divided by the coefficient of x2.

So,

(-7)(-2)=bb=14

Hence, the correct option is B.


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