Find k, if one root of the equation 5x2 + 6x + k = 0
is five times the other.
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Step-by-step explanation:
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k = 1 if one root of the equation 5x2 + 6x + k = 0 is five times the other.
Step-by-step explanation:
let say one root = a
then other root = 5a
sum of roots = - 6/5
=> a + 5a = -6/5
=> 6a = -6/5
=> a = - 1/5
5a = -1
products of roots = a(5a) = k/5
(-1/5)(-1) = k/5
=> k = 1
5x^2 + 6x + 1 = 0
(5x +1)(x + 1) = 0
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