If one root of the equation 5x²+13x+k =0 is reciprocal of other, then what is the value of 'k'?
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Step-by-step explanation:
The Given polynomial is f(x) =5x²+13x+k.
The quadratic equation ax² + bx + c = 0
Product of roots = c/a
Here we have the equation 5x²+ 13x + k = 0
Product of roots = k/5
Given that the roots are reciprocals of each other. So if one root is y, the other would be 1/y. So, their product will always be 1.
1 = k/5
k = 5.
Hence, the value of k is 5.
pls folo me
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