For what value of k,(k^2-4)x^2+2x-9=0 cannot be quadratic equation?
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Answer:
k = ± 2
Solution:
The given equation is;
(k² - 4)x² + 2x - 9 = 0
Here,
If the coefficient of x² becomes zero , then the given equation will not be a quadratic equation.
Moreover,
If the coefficient of x² becomes zero , then the given equation will become a linear equation.
Thus,
The condition for the given equation not to be quadratic is k² - 4 = 0
=> k² - 4 = 0
=> k² = 4
=> k = √4
=> k = ± 2
Hence,
If k = ± 2 , then the given equation cannot be a quadratic equation .
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