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The quadratic equation x2 + bx+4 = 0 will have real roots if
  • a)
    b ≤ - 4 only
  • b)
    b≥ 4 only
  • c)
    -4 < b < 4
  • d)
    b≤ -4,b≥ 4
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The quadratic equation x2 + bx+4 = 0 will have real roots ifa)b ≤ -...
If root are real
b2- 4 x 4≥ 0
b2 ≥ 16
b ≤ - 4, b ≥ 4
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The quadratic equation x2 + bx+4 = 0 will have real roots ifa)b ≤ - 4 onlyb)b≥ 4 onlyc)-4 < b < 4d)b≤ -4,b≥ 4Correct answer is option 'D'. Can you explain this answer?
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