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प्रश्न
Find the value of k for which the given quadratic equation has real and distinct roots:
x2 − kx + 9 = 0
बेरीज
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उत्तर
The given equation is x2 − kx + 9 = 0
∴ D = (−k)2 − 4 × 1 × 9
= k2 − 36
The given equation has real and distinct roots if D > 0
∴ k2 − 36 > 0
⇒ (k − 6) (k + 6) > 0
⇒ k < −6 or k > 6
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