The value of k will be equal to 4/3 and there will be two real and different roots.
<h3>What is a quadratic equation?</h3>
It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that the equation is k + 4/x +3/x² =0. The value of k will be calculated as,
k + 4/x +3/x² =0.
kx² + 4x + 3 = 0
b² - 4ac =0
4² = 4 x k x 3
16 = 12k
k = 4/3
Therefore, the value of k will be equal to 4/3 and there will be two real and different roots.
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