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Formation of a Quadratic Equation From It's Roots

If a quadrati...

Question

If a quadratic polynomial x^2+bx+1,b€R has two zeros which are both real, then b has how many values?

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Solution

Since quadratic polynomial has real root => b^2 - 4ac ≥ 0

b^2 - 4 ≥ 0

b^2 ≥ 4

=> b ∈ (-∞,-2] ∪ [2, ∞)

Therefore b can take any value in the given interval.

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Formation of a Quadratic Equation From It's Roots

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