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Nature of Roots

Find the valu...

Question

Find the value of k for which the given quadratic equation $x^{2} - 4 x + k = 0$ distinct real roots.

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Solution

Equation is $x^{2} - 4 x + k = 0$
Condition for distinct real roots
$b^{2} > 4 a c 4^{2} > 4 k k < 4$

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