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11th IIT. QUADRATIC EQUATIONS-LOCATION OF ROOTS

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+2 votes
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in Mathematics by (25 points)

Find all values of 'K' for which one root one root of the equation x2-(K+1)x +K2+K-8=0 , exceeds 2 and other root is smaller than 2

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1 Answer

+1 vote
by (63.1k points)

According to question 2 lies between the roots of the equation.

Now putting the value of x=2 in the given equation find the value of k

you will get the answer.

If you want complete solution then write in comment.

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