The value of k, for which one root of the quadratic equation kx2 -14x +8 =0 is six times the other.
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Answer:
Let a root be r. Then other root is 6r
Then, r+6r = - (-14)/k and r.6r = 8/k
Hence, 7r = 14/k i.e r = 2/k
So, 6.(2/k)^2 = 8/k
=> 24/(k^2) = 8/k
=> k = 3
Step-by-step explanation:
Putting k you get the roots as 4 and 2/3 which are the roots of the equation. Also, 4 is 6 times that of 2/3
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Answer:
k=3
Step-by-step explanation:
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