in quadratic equation 2x2-3x+k, one root is reciprocal of another root ; find value of k.
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Step-by-step explanation:
Let one zero of the polynomial 2x2 - 3x + k be α.
So, the other zero is 1/α.
Here,
a = 2
b = -3
c = k
So,
α x 1/α = c/a
1 = k/2
k = 2
The value of k is 2.
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