find the value of k if the roots of the following equation are equal
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For x^2-6x+(k+7) =0 to have equal roots, the sum of the roots = -6 and the product of the roots should be 9.
Or k+7 = 9, or
k = 2. Answer.
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Answer:
Equation x
2
−6x+k=0 has
discriminant D=b
2
−4ac
=36−4k
For real roots D>0
⇒ 36−4k>0
⇒ k<9
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