.If the equation x² + 4x + k = 0 has real and distinct roots, then
(a) k < 4
(b) k > 4
(c) k ≥ 4
(d) k ≤ 4
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Answer:
a)k<4
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Given equation ,
- x² + 4x + k = 0
And it is given that this quadratic equation has real and distinct roots.
So, Discriminant must be greater than "0" .
Now,
★ Discriminant = 4² - 4 × k × 1 = 16 - 4k
Since , Discriminant is greater than "0".
16 - 4k > 0
→ 16 > 4k
→ k < 16/ 4
→ k < 4
Answer:— (a) k < 4
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